Search a number
-
+
56582743180 = 225311017011289
BaseRepresentation
bin110100101100100110…
…000010010010001100
312102001100102011122211
4310230212002102030
51411340140240210
641554352320204
74042113244555
oct645446022214
9172040364584
1056582743180
1121aa6535477
12ab71543064
1354497a1732
142a4aab332c
15171273c38a
hexd2c98248c

56582743180 has 96 divisors (see below), whose sum is σ = 124144151040. Its totient is φ = 21638400000.

The previous prime is 56582743171. The next prime is 56582743181. The reversal of 56582743180 is 8134728565.

It is a happy number.

It is a super-3 number, since 3×565827431803 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (56582743181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43895976 + ... + 43897264.

It is an arithmetic number, because the mean of its divisors is an integer number (1293168240).

Almost surely, 256582743180 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 56582743180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62072075520).

56582743180 is an abundant number, since it is smaller than the sum of its proper divisors (67561407860).

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

56582743180 is a wasteful number, since it uses less digits than its factorization.

56582743180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 56582743180 in words is "fifty-six billion, five hundred eighty-two million, seven hundred forty-three thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 404 505 620 701 1010 1289 1402 2020 2578 2804 3131 3505 5156 6262 6445 7010 12524 12890 14020 15655 21731 25780 31310 39959 43462 62620 70801 79918 86924 108655 130189 141602 159836 199795 217310 260378 283204 354005 399590 434620 520756 650945 708010 799180 903589 1301890 1416020 1807178 2194831 2603780 3614356 4035859 4389662 4517945 8071718 8779324 9035890 10974155 16143436 18071780 20179295 21948310 28011259 40358590 43896620 56022518 80717180 91262489 112045036 140056295 182524978 280112590 365049956 456312445 560225180 912624890 1825249780 2829137159 5658274318 11316548636 14145685795 28291371590 56582743180