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96888250368 = 2133272132063
BaseRepresentation
bin101101000111011111…
…1010110000000000000
3100021002022100002020100
41122032333112000000
53041411343002433
6112302043242400
76666660353100
oct1321677260000
9307068302210
1096888250368
11380a9989598
121693b819400
1391a0c2c680
144991a89200
1527c0e6eb13
hex168efd6000

96888250368 has 504 divisors, whose sum is σ = 350791747488. Its totient is φ = 25540558848.

The previous prime is 96888250313. The next prime is 96888250397. The reversal of 96888250368 is 86305288869.

96888250368 is a `hidden beast` number, since 9 + 68 + 8 + 8 + 2 + 503 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46963705 + ... + 46965767.

It is an arithmetic number, because the mean of its divisors is an integer number (696015372).

Almost surely, 296888250368 is an apocalyptic number.

96888250368 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96888250368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175395873744).

96888250368 is an abundant number, since it is smaller than the sum of its proper divisors (253903497120).

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

96888250368 is a wasteful number, since it uses less digits than its factorization.

96888250368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 96888250368 in words is "ninety-six billion, eight hundred eighty-eight million, two hundred fifty thousand, three hundred sixty-eight".