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56556706428 = 2232172314812713
BaseRepresentation
bin110100101011000010…
…101101101001111100
312101222112102100221200
4310223002231221330
51411312004101203
641552022255500
74041346033635
oct645302555174
9171875370850
1056556706428
1121a928716a2
12ab64887590
135444286681
142a4745688c
1517102e79a3
hexd2b0ada7c

56556706428 has 144 divisors (see below), whose sum is σ = 158118682176. Its totient is φ = 16954122240.

The previous prime is 56556706397. The next prime is 56556706433. The reversal of 56556706428 is 82460765565.

56556706428 is a `hidden beast` number, since 5 + 6 + 556 + 7 + 0 + 64 + 28 = 666.

It is a super-2 number, since 2×565567064282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20845200 + ... + 20847912.

It is an arithmetic number, because the mean of its divisors is an integer number (1098046404).

Almost surely, 256556706428 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 56556706428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79059341088).

56556706428 is an abundant number, since it is smaller than the sum of its proper divisors (101561975748).

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

56556706428 is a wasteful number, since it uses less digits than its factorization.

56556706428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 56556706428 in words is "fifty-six billion, five hundred fifty-six million, seven hundred six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 612 782 828 1173 1481 1564 2346 2713 2962 3519 4443 4692 5426 5924 7038 8139 8886 10852 13329 14076 16278 17772 24417 25177 26658 32556 34063 46121 48834 50354 53316 62399 68126 75531 92242 97668 100708 102189 124798 136252 138363 151062 184484 187197 204378 226593 249596 276726 302124 306567 374394 408756 415089 453186 553452 561591 579071 613134 748788 830178 906372 1060783 1123182 1158142 1226268 1660356 1737213 2121566 2246364 2316284 3182349 3474426 4017953 4243132 5211639 6364698 6948852 8035906 9547047 10423278 12053859 12729396 16071812 19094094 20846556 24107718 36161577 38188188 48215436 68305201 72323154 92412919 136610402 144646308 184825838 204915603 273220804 277238757 369651676 409831206 554477514 614746809 819662412 831716271 1108955028 1229493618 1571019623 1663432542 2458987236 3142039246 3326865084 4713058869 6284078492 9426117738 14139176607 18852235476 28278353214 56556706428