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11628934960 = 245413545407
BaseRepresentation
bin10101101010010001…
…10111011100110000
31010000102220002210211
422311020313130300
5142304001404320
65201532233504
7561114213316
oct126510673460
933012802724
1011628934960
114a28259a55
12230660b894
131134314506
147c462a0b6
15480dc555a
hex2b5237730

11628934960 has 40 divisors (see below), whose sum is σ = 27696727296. Its totient is φ = 4538119680.

The previous prime is 11628934927. The next prime is 11628934973. The reversal of 11628934960 is 6943982611.

It is a happy number.

11628934960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1769424 + ... + 1775983.

Almost surely, 211628934960 is an apocalyptic number.

11628934960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11628934960 is an abundant number, since it is smaller than the sum of its proper divisors (16067792336).

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

11628934960 is a wasteful number, since it uses less digits than its factorization.

11628934960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545461 (or 3545455 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 11628934960 in words is "eleven billion, six hundred twenty-eight million, nine hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 3545407 7090814 14181628 17727035 28363256 35454070 56726512 70908140 141816280 145361687 283632560 290723374 581446748 726808435 1162893496 1453616870 2325786992 2907233740 5814467480 11628934960