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56560071008 = 25714910871559
BaseRepresentation
bin110100101011001111…
…100011000101100000
312101222202202022021202
4310223033203011200
51411313334233013
641552222340332
74041416446130
oct645317430540
9171882668252
1056560071008
1121a9475a541
12ab65a2a6a8
135444b93c4c
142a47a90ac0
15171075e858
hexd2b3e3160

56560071008 has 96 divisors (see below), whose sum is σ = 128314368000. Its totient is φ = 24039765504.

The previous prime is 56560070993. The next prime is 56560071023. The reversal of 56560071008 is 80017006565.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56560070993) and next prime (56560071023).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 36278933 + ... + 36280491.

It is an arithmetic number, because the mean of its divisors is an integer number (1336608000).

Almost surely, 256560071008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56560071008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64157184000).

56560071008 is an abundant number, since it is smaller than the sum of its proper divisors (71754296992).

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

56560071008 is a wasteful number, since it uses less digits than its factorization.

56560071008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The spelling of 56560071008 in words is "fifty-six billion, five hundred sixty million, seventy-one thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 149 224 298 596 1043 1087 1192 1559 2086 2174 2384 3118 4172 4348 4768 6236 7609 8344 8696 10913 12472 15218 16688 17392 21826 24944 30436 33376 34784 43652 49888 60872 87304 121744 161963 174608 232291 243488 323926 349216 464582 647852 929164 1133741 1295704 1626037 1694633 1858328 2267482 2591408 3252074 3389266 3716656 4534964 5182816 6504148 6778532 7433312 9069928 11862431 13008296 13557064 18139856 23724862 26016592 27114128 36279712 47449724 52033184 54228256 94899448 189798896 252500317 379597792 505000634 1010001268 1767502219 2020002536 3535004438 4040005072 7070008876 8080010144 14140017752 28280035504 56560071008