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10677827592 = 233416478129
BaseRepresentation
bin10011111000111001…
…01011100000001000
31000120011012211210000
421330130223200020
5133332010440332
64523314523000
7525415015455
oct117434534010
930504184700
1010677827592
11458a39aa03
12209bb96460
1310122656a3
147341a882c
15427650b7c
hex27c72b808

10677827592 has 40 divisors (see below), whose sum is σ = 29907805950. Its totient is φ = 3559275648.

The previous prime is 10677827549. The next prime is 10677827593. The reversal of 10677827592 is 29572877601.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7833312036 + 2844515556 = 88506^2 + 53334^2 .

It is a super-2 number, since 2×106778275922 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10677827593) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8238417 + ... + 8239712.

Almost surely, 210677827592 is an apocalyptic number.

10677827592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10677827592 is an abundant number, since it is smaller than the sum of its proper divisors (19229978358).

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

10677827592 is a wasteful number, since it uses less digits than its factorization.

10677827592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16478147 (or 16478134 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 10677827592 in words is "ten billion, six hundred seventy-seven million, eight hundred twenty-seven thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 16478129 32956258 49434387 65912516 98868774 131825032 148303161 197737548 296606322 395475096 444909483 593212644 889818966 1186425288 1334728449 1779637932 2669456898 3559275864 5338913796 10677827592