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10739074960 = 245303744201
BaseRepresentation
bin10100000000001100…
…10100011110010000
31000201102110112101001
422000012110132100
5133443200344320
64533343351344
7530060426305
oct120006243620
930642415331
1010739074960
114610a22a69
1220b85b2554
131021b5b333
1473c38d0ac
1542cbed20a
hex280194790

10739074960 has 40 divisors (see below), whose sum is σ = 24977135736. Its totient is φ = 4294118400.

The previous prime is 10739074943. The next prime is 10739074991. The reversal of 10739074960 is 6947093701.

It can be written as a sum of positive squares in 4 ways, for example, as 1110755584 + 9628319376 = 33328^2 + 98124^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 10739074960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220860 + ... + 265060.

Almost surely, 210739074960 is an apocalyptic number.

10739074960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10739074960 is an abundant number, since it is smaller than the sum of its proper divisors (14238060776).

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

10739074960 is a wasteful number, since it uses less digits than its factorization.

10739074960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47251 (or 47245 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The spelling of 10739074960 in words is "ten billion, seven hundred thirty-nine million, seventy-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3037 6074 12148 15185 24296 30370 44201 48592 60740 88402 121480 176804 221005 242960 353608 442010 707216 884020 1768040 3536080 134238437 268476874 536953748 671192185 1073907496 1342384370 2147814992 2684768740 5369537480 10739074960