Search a number
-
+
56555074710 = 23252970130911
BaseRepresentation
bin110100101010111100…
…011111010010010110
312101222102100110122200
4310222330133102112
51411311044342320
641551523305330
74041326126511
oct645274372226
9171872313580
1056555074710
1121a91957772
12ab6421b246
135443b34a64
142a4714dd78
1517100c4290
hexd2af1f496

56555074710 has 96 divisors (see below), whose sum is σ = 152335572480. Its totient is φ = 14540064000.

The previous prime is 56555074687. The next prime is 56555074711. The reversal of 56555074710 is 1747055565.

56555074710 is a `hidden beast` number, since 56 + 5 + 550 + 7 + 47 + 1 + 0 = 666.

It is a super-3 number, since 3×565550747103 (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56555074711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1814155 + ... + 1845065.

It is an arithmetic number, because the mean of its divisors is an integer number (1586828880).

Almost surely, 256555074710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56555074710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76167786240).

56555074710 is an abundant number, since it is smaller than the sum of its proper divisors (95780497770).

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

56555074710 is a wasteful number, since it uses less digits than its factorization.

56555074710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31654 (or 31651 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 56555074710 in words is "fifty-six billion, five hundred fifty-five million, seventy-four thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 701 870 1305 1402 2103 2610 3505 4206 6309 7010 10515 12618 20329 21030 30911 31545 40658 60987 61822 63090 92733 101645 121974 154555 182961 185466 203290 278199 304935 309110 365922 463665 556398 609870 896419 914805 927330 1390995 1792838 1829610 2689257 2781990 4482095 5378514 8067771 8964190 13446285 16135542 21668611 26892570 40338855 43337222 65005833 80677710 108343055 130011666 195017499 216686110 325029165 390034998 628389719 650058330 975087495 1256779438 1885169157 1950174990 3141948595 3770338314 5655507471 6283897190 9425845785 11311014942 18851691570 28277537355 56555074710