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97388309040 = 243511283713003
BaseRepresentation
bin101101010110011001…
…0111010101000110000
3100022101011021200202220
41122230302322220300
53043422401342130
6112423425241040
710015241653101
oct1325462725060
9308334250686
1097388309040
1138336186020
1216a5b193180
139250705389
1449dc2583a8
1527eecea410
hex16accbaa30

97388309040 has 160 divisors (see below), whose sum is σ = 329490982656. Its totient is φ = 23599150080.

The previous prime is 97388308993. The next prime is 97388309047. The reversal of 97388309040 is 4090388379.

It is a Cunningham number, because it is equal to 3120712-1.

It is not an unprimeable number, because it can be changed into a prime (97388309047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7483179 + ... + 7496181.

Almost surely, 297388309040 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 97388309040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164745491328).

97388309040 is an abundant number, since it is smaller than the sum of its proper divisors (232102673616).

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

97388309040 is a wasteful number, since it uses less digits than its factorization.

97388309040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15867 (or 15861 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 97388309040 in words is "ninety-seven billion, three hundred eighty-eight million, three hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 2837 5674 8511 11348 13003 14185 17022 22696 26006 28370 31207 34044 39009 42555 45392 52012 56740 62414 65015 68088 78018 85110 93621 104024 113480 124828 130030 136176 143033 156035 156036 170220 187242 195045 208048 226960 249656 260060 286066 312070 312072 340440 374484 390090 429099 468105 499312 520120 572132 624140 624144 680880 715165 748968 780180 858198 936210 1040240 1144264 1248280 1430330 1497936 1560360 1716396 1872420 2145495 2288528 2496560 2860660 3120720 3432792 3744840 4290990 5721320 6865584 7489680 8581980 11442640 17163960 34327920 36889511 73779022 110668533 147558044 184447555 221337066 295116088 368895110 405784621 442674132 553342665 590232176 737790220 811569242 885348264 1106685330 1217353863 1475580440 1623138484 1770696528 2028923105 2213370660 2434707726 2951160880 3246276968 4057846210 4426741320 4869415452 6086769315 6492553936 8115692420 8853482640 9738830904 12173538630 16231384840 19477661808 24347077260 32462769680 48694154520 97388309040