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11630516340 = 22351711402467
BaseRepresentation
bin10101101010011101…
…11001100001110100
31010000112212110001110
422311032321201310
5142304403010330
65202030155020
7561133520622
oct126516714164
933015773043
1011630516340
114a2913a083
122307052a70
131134749241
147c491c512
154810d8db0
hex2b53b9874

11630516340 has 48 divisors (see below), whose sum is σ = 34481063232. Its totient is φ = 2919031296.

The previous prime is 11630516333. The next prime is 11630516353. The reversal of 11630516340 is 4361503611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11630516298 and 11630516307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5700214 + ... + 5702253.

It is an arithmetic number, because the mean of its divisors is an integer number (718355484).

Almost surely, 211630516340 is an apocalyptic number.

11630516340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11630516340 is an abundant number, since it is smaller than the sum of its proper divisors (22850546892).

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

11630516340 is a wasteful number, since it uses less digits than its factorization.

11630516340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11402496 (or 11402494 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 11630516340 in words is "eleven billion, six hundred thirty million, five hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 11402467 22804934 34207401 45609868 57012335 68414802 114024670 136829604 171037005 193841939 228049340 342074010 387683878 581525817 684148020 775367756 969209695 1163051634 1938419390 2326103268 2907629085 3876838780 5815258170 11630516340