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10096542000 = 2433531811033
BaseRepresentation
bin10010110011100110…
…10000000100110000
3222001122102110212000
421121303100010300
5131134203321000
64345511534000
7505126122336
oct113163200460
928048373760
1010096542000
114311264496
121b5938a300
13c4b9c000c
146bacd3b56
153e15cd000
hex259cd0130

10096542000 has 320 divisors, whose sum is σ = 36403086720. Its totient is φ = 2674944000.

The previous prime is 10096541999. The next prime is 10096542011. The reversal of 10096542000 is 24569001.

10096542000 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 654 + 2 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9773484 + ... + 9774516.

It is an arithmetic number, because the mean of its divisors is an integer number (113759646).

Almost surely, 210096542000 is an apocalyptic number.

10096542000 is a gapful number since it is divisible by the number (10) 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 10096542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201543360).

10096542000 is an abundant number, since it is smaller than the sum of its proper divisors (26306544720).

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

10096542000 is a wasteful number, since it uses less digits than its factorization.

10096542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10096542000 in words is "ten billion, ninety-six million, five hundred forty-two thousand".