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10097185896 = 2334729591301
BaseRepresentation
bin10010110011101011…
…01101010001101000
3222001200122012010000
421121311231101220
5131134334422041
64345533423000
7505134443520
oct113165552150
928050565100
1010097185896
114311664236
121b5963aa60
13c4bb87115
146bb020680
153e16a8bb6
hex259d6d468

10097185896 has 320 divisors, whose sum is σ = 34029072000. Its totient is φ = 2736115200.

The previous prime is 10097185859. The next prime is 10097185913. The reversal of 10097185896 is 69858179001.

10097185896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7760446 + ... + 7761746.

It is an arithmetic number, because the mean of its divisors is an integer number (106340850).

Almost surely, 210097185896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10097185896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17014536000).

10097185896 is an abundant number, since it is smaller than the sum of its proper divisors (23931886104).

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

10097185896 is a wasteful number, since it uses less digits than its factorization.

10097185896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 10097185896 in words is "ten billion, ninety-seven million, one hundred eighty-five thousand, eight hundred ninety-six".