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864736504056 = 233336671109171
BaseRepresentation
bin11001001010101100100…
…11111110100011111000
310001200000222021212211000
430211112103332203320
5103131440021112211
61501130544205000
7116321656002315
oct14452623764370
93050028255730
10864736504056
11303807238417
1211b712609760
136370caa8b89
142dbd3cc9d0c
151776179d656
hexc9564fe8f8

864736504056 has 64 divisors (see below), whose sum is σ = 2402133350400. Its totient is φ = 288235000800.

The previous prime is 864736504003. The next prime is 864736504069. The reversal of 864736504056 is 650405637468.

864736504056 is a `hidden beast` number, since 8 + 64 + 73 + 6 + 504 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×8647365040562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 864736503993 and 864736504011.

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, 7866351 + ... + 7975521.

It is an arithmetic number, because the mean of its divisors is an integer number (37533333600).

Almost surely, 2864736504056 is an apocalyptic number.

It is an amenable number.

864736504056 is an abundant number, since it is smaller than the sum of its proper divisors (1537396846344).

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

864736504056 is a wasteful number, since it uses less digits than its factorization.

864736504056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145857 (or 145847 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 864736504056 in words is "eight hundred sixty-four billion, seven hundred thirty-six million, five hundred four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 36671 73342 109171 110013 146684 218342 220026 293368 327513 330039 436684 440052 655026 660078 873368 880104 982539 990117 1310052 1320156 1965078 1980234 2620104 2640312 2947617 3930156 3960468 5895234 7860312 7920936 11790468 23580936 4003409741 8006819482 12010229223 16013638964 24020458446 32027277928 36030687669 48040916892 72061375338 96081833784 108092063007 144122750676 216184126014 288245501352 432368252028 864736504056