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10688479947 = 323947300889
BaseRepresentation
bin10011111010001010…
…10100001011001011
31000120220021001001200
421331011110023023
5133342222324242
64524335115243
7525604403055
oct117505241313
930526231050
1010688479947
114595406202
1220a3672b23
131014525162
1473577c8d5
1542855704c
hex27d1542cb

10688479947 has 12 divisors (see below), whose sum is σ = 15442878360. Its totient is φ = 7123824288.

The previous prime is 10688479931. The next prime is 10688479957. The reversal of 10688479947 is 74997488601.

10688479947 is a `hidden beast` number, since 10 + 68 + 8 + 479 + 94 + 7 = 666.

10688479947 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10688479947 - 24 = 10688479931 is a prime.

It is a super-3 number, since 3×106884799473 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10688479957) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 114922 + ... + 185967.

It is an arithmetic number, because the mean of its divisors is an integer number (1286906530).

Almost surely, 210688479947 is an apocalyptic number.

10688479947 is a deficient number, since it is larger than the sum of its proper divisors (4754398413).

10688479947 is a wasteful number, since it uses less digits than its factorization.

10688479947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304842 (or 304839 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 10688479947 in words is "ten billion, six hundred eighty-eight million, four hundred seventy-nine thousand, nine hundred forty-seven".

Divisors: 1 3 9 3947 11841 35523 300889 902667 2708001 1187608883 3562826649 10688479947