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102442127626464 = 25331214911601729
BaseRepresentation
bin10111010010101110101010…
…101000001001000011100000
3111102201101001000021220120020
4113102232222220021003200
5101411402434133021324
61001513132545113440
730402125264360613
oct2722565250110340
9442641030256506
10102442127626464
112a70650a42567a
12b5a5b79328880
134521335b0c572
141b4232283017a
15bc9b4c850679
hex5d2baaa090e0

102442127626464 has 96 divisors (see below), whose sum is σ = 277598209674240. Its totient is φ = 33044289331200.

The previous prime is 102442127626373. The next prime is 102442127626481. The reversal of 102442127626464 is 464626721244201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 63156352 + ... + 64758080.

It is an arithmetic number, because the mean of its divisors is an integer number (2891648017440).

Almost surely, 2102442127626464 is an apocalyptic number.

It is an amenable number.

102442127626464 is an abundant number, since it is smaller than the sum of its proper divisors (175156082047776).

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

102442127626464 is a wasteful number, since it uses less digits than its factorization.

102442127626464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623264 (or 1623256 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 51.

The spelling of 102442127626464 in words is "one hundred two trillion, four hundred forty-two billion, one hundred twenty-seven million, six hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 21491 42982 64473 85964 128946 171928 257892 343856 515784 666221 687712 1031568 1332442 1601729 1998663 2063136 2664884 3203458 3997326 4805187 5329768 6406916 7994652 9610374 10659536 12813832 15989304 19220748 21319072 25627664 31978608 38441496 49653599 51255328 63957216 76882992 99307198 148960797 153765984 198614396 297921594 397228792 595843188 794457584 1191686376 1588915168 2383372752 4766745504 34422757939 68845515878 103268273817 137691031756 206536547634 275382063512 413073095268 550764127024 826146190536 1067105496109 1101528254048 1652292381072 2134210992218 3201316488327 3304584762144 4268421984436 6402632976654 8536843968872 12805265953308 17073687937744 25610531906616 34147375875488 51221063813232 102442127626464