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54125115050112 = 2732313259462199
BaseRepresentation
bin11000100111001111111000…
…10000011000100010000000
321002122022101022220001012220
430103213330100120202000
524043241213423100422
6311040422401051040
714254260544001211
oct1423477420304200
9232568338801186
1054125115050112
1116278372452717
1260a1987626a80
132427c90347532
14d5195333d408
1563cdb9ba0e5c
hex3139fc418880

54125115050112 has 128 divisors (see below), whose sum is σ = 150032338560000. Its totient is φ = 17255944172544.

The previous prime is 54125115050101. The next prime is 54125115050117. The reversal of 54125115050112 is 21105051152145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (54125115050117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116872389 + ... + 117334587.

It is an arithmetic number, because the mean of its divisors is an integer number (1172127645000).

Almost surely, 254125115050112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54125115050112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75016169280000).

54125115050112 is an abundant number, since it is smaller than the sum of its proper divisors (95907223509888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54125115050112 is a wasteful number, since it uses less digits than its factorization.

54125115050112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475498 (or 475486 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 33.

The spelling of 54125115050112 in words is "fifty-four trillion, one hundred twenty-five billion, one hundred fifteen million, fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 13259 26518 39777 53036 79554 106072 159108 212144 304957 318216 424288 462199 609914 636432 848576 914871 924398 1219828 1272864 1386597 1697152 1829742 1848796 2439656 2545728 2773194 3659484 3697592 4879312 5091456 5546388 7318968 7395184 9758624 10630577 11092776 14637936 14790368 19517248 21261154 22185552 29275872 29580736 31891731 39034496 42522308 44371104 58551744 59161472 63783462 85044616 88742208 117103488 127566924 170089232 177484416 255133848 340178464 510267696 680356928 1020535392 1360713856 2041070784 4082141568 6128296541 12256593082 18384889623 24513186164 36769779246 49026372328 73539558492 98052744656 140950820443 147079116984 196105489312 281901640886 294158233968 392210978624 422852461329 563803281772 588316467936 784421957248 845704922658 1127606563544 1176632935872 1691409845316 2255213127088 2353265871744 3382819690632 4510426254176 6765639381264 9020852508352 13531278762528 18041705016704 27062557525056 54125115050112