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10106387808 = 253119570443
BaseRepresentation
bin10010110100110001…
…10011110101100000
3222002022221200202120
421122120303311200
5131144213402213
64350502544240
7505305610326
oct113230636540
928068850676
1010106387808
114316879820
121b60738080
13c50a5963a
146bc337d16
153e23c5423
hex25a633d60

10106387808 has 48 divisors (see below), whose sum is σ = 28941022656. Its totient is φ = 3062541440.

The previous prime is 10106387807. The next prime is 10106387813. The reversal of 10106387808 is 80878360101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10106387808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106387807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4784166 + ... + 4786277.

It is an arithmetic number, because the mean of its divisors is an integer number (602937972).

Almost surely, 210106387808 is an apocalyptic number.

It is an amenable number.

10106387808 is an abundant number, since it is smaller than the sum of its proper divisors (18834634848).

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

10106387808 is a wasteful number, since it uses less digits than its factorization.

10106387808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9570467 (or 9570459 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 10106387808 in words is "ten billion, one hundred six million, three hundred eighty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 9570443 19140886 28711329 38281772 57422658 76563544 105274873 114845316 153127088 210549746 229690632 306254176 315824619 421099492 459381264 631649238 842198984 918762528 1263298476 1684397968 2526596952 3368795936 5053193904 10106387808