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11630824864 = 257329316993
BaseRepresentation
bin10101101010100000…
…00100110110100000
31010000120110010021021
422311100010312200
5142304442343424
65202040535224
7561136244251
oct126520046640
933016403237
1011630824864
114a2932a95a
122307181514
1311348267b9
147c499cb28
1548114a4e4
hex2b5404da0

11630824864 has 48 divisors (see below), whose sum is σ = 23292452232. Its totient is φ = 5715836928.

The previous prime is 11630824817. The next prime is 11630824879. The reversal of 11630824864 is 46842803611.

It can be written as a sum of positive squares in 4 ways, for example, as 10712250000 + 918574864 = 103500^2 + 30308^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11630824864.

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, 675952 + ... + 692944.

Almost surely, 211630824864 is an apocalyptic number.

It is an amenable number.

11630824864 is an abundant number, since it is smaller than the sum of its proper divisors (11661627368).

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

11630824864 is a wasteful number, since it uses less digits than its factorization.

11630824864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17369 (or 17361 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 11630824864 in words is "eleven billion, six hundred thirty million, eight hundred twenty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 73 146 292 293 584 586 1168 1172 2336 2344 4688 9376 16993 21389 33986 42778 67972 85556 135944 171112 271888 342224 543776 684448 1240489 2480978 4961956 4978949 9923912 9957898 19847824 19915796 39695648 39831592 79663184 159326368 363463277 726926554 1453853108 2907706216 5815412432 11630824864