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98027345567376 = 24328250732
BaseRepresentation
bin10110010010011111000101…
…000111000101111010010000
3110212002022201020222102200100
4112102133011013011322100
5100322040000431124001
6544253050232052400
726435146002133341
oct2622370507057220
9425068636872610
1098027345567376
1129264189006955
12abb2433834100
134290c29055b94
141a2c79803a0c8
15b4edb2387586
hex5927c51c5e90

98027345567376 has 45 divisors (see below), whose sum is σ = 274340751002409. Its totient is φ = 32675742252288.

The previous prime is 98027345567357. The next prime is 98027345567381. The reversal of 98027345567376 is 67376554372089.

The square root of 98027345567376 is 9900876.

It is a perfect power (a square), and thus also a powerful number.

98027345567376 is a `hidden beast` number, since 9 + 8 + 0 + 2 + 7 + 34 + 556 + 7 + 37 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13744369875600 + 84282975691776 = 3707340^2 + 9180576^2 .

It is a super-2 number, since 2×980273455673762 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 118397976 + ... + 119223048.

Almost surely, 298027345567376 is an apocalyptic number.

98027345567376 is the 9900876-th square number.

It is an amenable number.

98027345567376 is an abundant number, since it is smaller than the sum of its proper divisors (176313405435033).

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

98027345567376 is an frugal number, since it uses more digits than its factorization.

98027345567376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650160 (or 825078 counting only the distinct ones).

The product of its (nonzero) digits is 1600300800, while the sum is 72.

The spelling of 98027345567376 in words is "ninety-eight trillion, twenty-seven billion, three hundred forty-five million, five hundred sixty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 825073 1650146 2475219 3300292 4950438 6600584 7425657 9900876 13201168 14851314 19801752 29702628 39603504 59405256 118810512 680745455329 1361490910658 2042236365987 2722981821316 4084472731974 5445963642632 6126709097961 8168945463948 10891927285264 12253418195922 16337890927896 24506836391844 32675781855792 49013672783688 98027345567376