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10642010440 = 2351012634161
BaseRepresentation
bin10011110100101000…
…00011000101001000
31000110122211010212211
421322110003011020
5133243323313230
64515555114504
7524501411335
oct117224030510
930418733784
1010642010440
114571156a56
12208bba2a34
131007a049c9
1472d52398c
1542442842a
hex27a503148

10642010440 has 32 divisors (see below), whose sum is σ = 24181607160. Its totient is φ = 4214656000.

The previous prime is 10642010417. The next prime is 10642010501. The reversal of 10642010440 is 4401024601.

It can be written as a sum of positive squares in 4 ways, for example, as 10446066436 + 195944004 = 102206^2 + 13998^2 .

It is a super-2 number, since 2×106420104402 (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1313041 + ... + 1321120.

Almost surely, 210642010440 is an apocalyptic number.

10642010440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10642010440 is an abundant number, since it is smaller than the sum of its proper divisors (13539596720).

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

10642010440 is a wasteful number, since it uses less digits than its factorization.

10642010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634273 (or 2634269 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The spelling of 10642010440 in words is "ten billion, six hundred forty-two million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 2634161 5268322 10536644 13170805 21073288 26341610 52683220 105366440 266050261 532100522 1064201044 1330251305 2128402088 2660502610 5321005220 10642010440