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97838807442128 = 24172323367121011
BaseRepresentation
bin10110001111101111011111…
…010111001110001011010000
3110211102022001201020022110122
4112033233133113032023100
5100310442334201122003
6544030305545445412
726415422566406654
oct2617573727161320
9424368051208418
1097838807442128
11291a122916a915
12ab819967a0868
13427921055801c
141a235d02d8a64
15b4a02a2d9238
hex58fbdf5ce2d0

97838807442128 has 80 divisors (see below), whose sum is σ = 210338994692736. Its totient is φ = 43850961285120.

The previous prime is 97838807442113. The next prime is 97838807442143. The reversal of 97838807442128 is 82124470883879.

97838807442128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (97838807442113) and next prime (97838807442143).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32102858 + ... + 35018153.

Almost surely, 297838807442128 is an apocalyptic number.

It is an amenable number.

97838807442128 is an abundant number, since it is smaller than the sum of its proper divisors (112500187250608).

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

97838807442128 is a wasteful number, since it uses less digits than its factorization.

97838807442128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67121292 (or 67121286 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 71.

The spelling of 97838807442128 in words is "ninety-seven trillion, eight hundred thirty-eight billion, eight hundred seven million, four hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 233 272 368 391 466 782 932 1564 1864 3128 3728 3961 5359 6256 7922 10718 15844 21436 31688 42872 63376 85744 91103 182206 364412 728824 1457648 67121011 134242022 268484044 536968088 1073936176 1141057187 1543783253 2282114374 3087566506 4564228748 6175133012 9128457496 12350266024 15639195563 18256914992 24700532048 26244315301 31278391126 52488630602 62556782252 104977261204 125113564504 209954522408 250227129008 265866324571 359701497949 419909044816 531732649142 719402995898 1063465298284 1438805991796 2126930596568 2877611983592 4253861193136 5755223967184 6114925465133 12229850930266 24459701860532 48919403721064 97838807442128