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88196496907401 = 321231225432
BaseRepresentation
bin10100000011011011011000…
…110111100101110010001001
3102120021111120111211120100100
4110003123120313211302021
543030002411202014101
6511324524503200013
724401662261233621
oct2403333067456211
9376244514746310
1088196496907401
1126113a19254223
129a850a4446009
133a29b8109538c
1417aca39d8d881
15a2e2d7504e86
hex5036d8de5c89

88196496907401 has 27 divisors (see below), whose sum is σ = 127548669794637. Its totient is φ = 58726797862680.

The previous prime is 88196496907369. The next prime is 88196496907469. The reversal of 88196496907401 is 10470969469188.

The square root of 88196496907401 is 9391299.

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

88196496907401 is a `hidden beast` number, since 8 + 8 + 1 + 9 + 6 + 496 + 90 + 7 + 40 + 1 = 666.

It is not a de Polignac number, because 88196496907401 - 25 = 88196496907369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 88196496907401.

It is not an unprimeable number, because it can be changed into a prime (88196496907471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34682065936 + ... + 34682068478.

Almost surely, 288196496907401 is an apocalyptic number.

88196496907401 is the 9391299-th square number.

88196496907401 is the 4695650-th centered octagonal number.

It is an amenable number.

88196496907401 is a deficient number, since it is larger than the sum of its proper divisors (39352172887236).

88196496907401 is an frugal number, since it uses more digits than its factorization.

88196496907401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7554 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 88196496907401 in words is "eighty-eight trillion, one hundred ninety-six billion, four hundred ninety-six million, nine hundred seven thousand, four hundred one".

Divisors: 1 3 9 1231 2543 3693 7629 11079 22887 1515361 3130433 4546083 6466849 9391299 13638249 19400547 28173897 58201641 3853563023 7960691119 11560689069 23882073357 34682067207 71646220071 9799610767489 29398832302467 88196496907401