Search a number
-
+
56611155720 = 23357169939667
BaseRepresentation
bin110100101110010010…
…011010111100001000
312102010022212200100010
4310232102122330020
51411414423440340
642001245311520
74042606612140
oct645622327410
9172108780303
1056611155720
1122010581209
12ab7ab655a0
13545263bca2
142a5078b920
151714ea0b80
hexd2e49af08

56611155720 has 128 divisors (see below), whose sum is σ = 194214528000. Its totient is φ = 12931750656.

The previous prime is 56611155719. The next prime is 56611155721. The reversal of 56611155720 is 2755111665.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56611155719) and next prime (56611155721).

It is not an unprimeable number, because it can be changed into a prime (56611155721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1407327 + ... + 1446993.

It is an arithmetic number, because the mean of its divisors is an integer number (1517301000).

Almost surely, 256611155720 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 56611155720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97107264000).

56611155720 is an abundant number, since it is smaller than the sum of its proper divisors (137603372280).

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

56611155720 is a wasteful number, since it uses less digits than its factorization.

56611155720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41387 (or 41383 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 39.

The spelling of 56611155720 in words is "fifty-six billion, six hundred eleven million, one hundred fifty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1699 3398 5097 6796 8495 10194 11893 13592 16990 20388 23786 25485 33980 35679 39667 40776 47572 50970 59465 67960 71358 79334 95144 101940 118930 119001 142716 158668 178395 198335 203880 237860 238002 277669 285432 317336 356790 396670 475720 476004 555338 595005 713580 793340 833007 952008 1110676 1190010 1388345 1427160 1586680 1666014 2221352 2380020 2776690 3332028 4165035 4760040 5553380 6664056 8330070 11106760 16660140 33320280 67394233 134788466 202182699 269576932 336971165 404365398 471759631 539153864 673942330 808730796 943519262 1010913495 1347884660 1415278893 1617461592 1887038524 2021826990 2358798155 2695769320 2830557786 3774077048 4043653980 4717596310 5661115572 7076394465 8087307960 9435192620 11322231144 14152788930 18870385240 28305577860 56611155720