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56552667210 = 23351382319577
BaseRepresentation
bin110100101010110011…
…010011100001001010
312101222020211011012000
4310222303103201022
51411304440322320
641551355531430
74041266511534
oct645263234112
9171866734160
1056552667210
1121a905629a6
12ab63459b76
1354434a0cc0
142a46ac4854
15170ec9ac90
hexd2acd384a

56552667210 has 128 divisors (see below), whose sum is σ = 162613301760. Its totient is φ = 13903031808.

The previous prime is 56552667179. The next prime is 56552667229. The reversal of 56552667210 is 1276625565.

56552667210 is a `hidden beast` number, since 5 + 65 + 526 + 67 + 2 + 1 + 0 = 666.

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

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 2878942 + ... + 2898518.

It is an arithmetic number, because the mean of its divisors is an integer number (1270416420).

Almost surely, 256552667210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56552667210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81306650880).

56552667210 is an abundant number, since it is smaller than the sum of its proper divisors (106060634550).

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

56552667210 is a wasteful number, since it uses less digits than its factorization.

56552667210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20429 (or 20423 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 56552667210 in words is "fifty-six billion, five hundred fifty-two million, six hundred sixty-seven thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 823 1170 1646 1755 2469 3510 4115 4938 7407 8230 10699 12345 14814 19577 21398 22221 24690 32097 37035 39154 44442 53495 58731 64194 74070 96291 97885 106990 111105 117462 160485 176193 192582 195770 222210 254501 288873 293655 320970 352386 481455 509002 528579 577746 587310 763503 880965 962910 1057158 1272505 1444365 1527006 1761930 2290509 2545010 2642895 2888730 3817515 4581018 5285790 6871527 7635030 11452545 13743054 16111871 22905090 32223742 34357635 48335613 68715270 80559355 96671226 145006839 161118710 209454323 241678065 290013678 418908646 435020517 483356130 628362969 725034195 870041034 1047271615 1256725938 1450068390 1885088907 2094543230 2175102585 3141814845 3770177814 4350205170 5655266721 6283629690 9425444535 11310533442 18850889070 28276333605 56552667210