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56558256030 = 23252340016829
BaseRepresentation
bin110100101011001000…
…100111111110011110
312101222122100002121100
4310223020213332132
51411312403143110
641552115413530
74041365146503
oct645310477636
9171878302540
1056558256030
1121a9372a961
12ab652b42a6
1354446a9ab3
142a4773b4aa
151710501bc0
hexd2b227f9e

56558256030 has 96 divisors (see below), whose sum is σ = 153505834560. Its totient is φ = 14420736000.

The previous prime is 56558256017. The next prime is 56558256043. The reversal of 56558256030 is 3065285565.

56558256030 is a `hidden beast` number, since 5 + 6 + 5 + 5 + 82 + 560 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56558256017) and next prime (56558256043).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8278656 + ... + 8285484.

It is an arithmetic number, because the mean of its divisors is an integer number (1599019110).

Almost surely, 256558256030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56558256030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76752917280).

56558256030 is an abundant number, since it is smaller than the sum of its proper divisors (96947578530).

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

56558256030 is a wasteful number, since it uses less digits than its factorization.

56558256030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10866 (or 10863 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 56558256030 in words is "fifty-six billion, five hundred fifty-eight million, two hundred fifty-six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 4001 6829 8002 12003 13658 20005 20487 24006 34145 36009 40010 40974 60015 61461 68290 72018 92023 102435 120030 122922 157067 180045 184046 204870 276069 307305 314134 360090 460115 471201 552138 614610 785335 828207 920230 942402 1380345 1413603 1570670 1656414 2356005 2760690 2827206 4141035 4712010 7068015 8282070 14136030 27322829 54645658 81968487 136614145 163936974 245905461 273228290 409842435 491810922 628425067 819684870 1229527305 1256850134 1885275201 2459054610 3142125335 3770550402 5655825603 6284250670 9426376005 11311651206 18852752010 28279128015 56558256030