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10674145764 = 2233432298481
BaseRepresentation
bin10011111000011101…
…01000100111100100
31000112220021210021000
421330032220213210
5133330040131024
64523103553300
7525341512332
oct117416504744
930486253230
1010674145764
114588305777
12209a8bb830
1310115768a9
147338cab52
15427174cc9
hex27c3a89e4

10674145764 has 48 divisors (see below), whose sum is σ = 28317298240. Its totient is φ = 3475301760.

The previous prime is 10674145763. The next prime is 10674145777. The reversal of 10674145764 is 46754147601.

10674145764 is a `hidden beast` number, since 1 + 0 + 6 + 74 + 1 + 4 + 576 + 4 = 666.

10674145764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106741457642 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10674145763) 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 15 ways as a sum of consecutive naturals, for example, 1144597 + ... + 1153884.

Almost surely, 210674145764 is an apocalyptic number.

It is an amenable number.

10674145764 is an abundant number, since it is smaller than the sum of its proper divisors (17643152476).

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

10674145764 is a wasteful number, since it uses less digits than its factorization.

10674145764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298537 (or 2298529 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 10674145764 in words is "ten billion, six hundred seventy-four million, one hundred forty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 2298481 4596962 6895443 9193924 13790886 20686329 27581772 41372658 62058987 82745316 98834683 124117974 197669366 248235948 296504049 395338732 593008098 889512147 1186016196 1779024294 2668536441 3558048588 5337072882 10674145764