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56673428031 = 34112910392111
BaseRepresentation
bin110100110001111111…
…111110001000111111
312102021200001102220000
4310301333332020333
51412031344144111
642011352125343
74044264122103
oct646177761077
9172250042800
1056673428031
1122042744330
12ab97996853
1354625032cc
142a58b5b903
15171a6a1c56
hexd31ffe23f

56673428031 has 80 divisors (see below), whose sum is σ = 95678668800. Its totient is φ = 33115521600.

The previous prime is 56673427991. The next prime is 56673428041. The reversal of 56673428031 is 13082437665.

56673428031 is a `hidden beast` number, since 566 + 7 + 3 + 4 + 2 + 80 + 3 + 1 = 666.

It is not a de Polignac number, because 56673428031 - 214 = 56673411647 is a prime.

It is a super-2 number, since 2×566734280312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56673428041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26845666 + ... + 26847776.

It is an arithmetic number, because the mean of its divisors is an integer number (1195983360).

Almost surely, 256673428031 is an apocalyptic number.

56673428031 is a deficient number, since it is larger than the sum of its proper divisors (39005240769).

56673428031 is a wasteful number, since it uses less digits than its factorization.

56673428031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 56673428031 in words is "fifty-six billion, six hundred seventy-three million, four hundred twenty-eight thousand, thirty-one".

Divisors: 1 3 9 11 27 29 33 81 87 99 261 297 319 783 891 957 1039 2111 2349 2871 3117 6333 8613 9351 11429 18999 23221 25839 28053 30131 34287 56997 61219 69663 84159 90393 102861 170991 183657 208989 271179 308583 331441 550971 626967 673409 813537 925749 994323 1652913 1880901 2020227 2193329 2440611 2982969 4958739 6060681 6579987 8948907 18182043 19739961 24126619 26846721 54546129 59219883 63606541 72379857 177659649 190819623 217139571 572458869 651418713 699671951 1717376607 1954256139 2099015853 5152129821 6297047559 18891142677 56673428031