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84258803112 = 233111979212633
BaseRepresentation
bin100111001111000110…
…1110100110110101000
322001111010210200120120
41032132031310312220
52340030223144422
6102412530323240
76042004003131
oct1163615646650
9261433720516
1084258803112
1132808996980
12143b6129520
137c3a55ba63
14411461ac88
1522d231645c
hex139e374da8

84258803112 has 128 divisors (see below), whose sum is σ = 244954368000. Its totient is φ = 23882826240.

The previous prime is 84258803089. The next prime is 84258803137. The reversal of 84258803112 is 21130885248.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289948 + ... + 502580.

It is an arithmetic number, because the mean of its divisors is an integer number (1913706000).

Almost surely, 284258803112 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 84258803112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122477184000).

84258803112 is an abundant number, since it is smaller than the sum of its proper divisors (160695564888).

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

84258803112 is a wasteful number, since it uses less digits than its factorization.

84258803112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212751 (or 212747 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 84258803112 in words is "eighty-four billion, two hundred fifty-eight million, eight hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 79 88 114 132 152 158 209 228 237 264 316 418 456 474 627 632 836 869 948 1254 1501 1672 1738 1896 2508 2607 3002 3476 4503 5016 5214 6004 6952 9006 10428 12008 16511 18012 20856 33022 36024 49533 66044 99066 132088 198132 212633 396264 425266 637899 850532 1275798 1701064 2338963 2551596 4040027 4677926 5103192 7016889 8080054 9355852 12120081 14033778 16160108 16798007 18711704 24240162 28067556 32320216 33596014 44440297 48480324 50394021 56135112 67192028 88880594 96960648 100788042 133320891 134384056 177761188 184778077 201576084 266641782 319162133 355522376 369556154 403152168 533283564 554334231 638324266 739112308 957486399 1066567128 1108668462 1276648532 1478224616 1914972798 2217336924 2553297064 3510783463 3829945596 4434673848 7021566926 7659891192 10532350389 14043133852 21064700778 28086267704 42129401556 84258803112