Search a number
-
+
56610862824 = 23319349355721
BaseRepresentation
bin110100101110010001…
…010011011011101000
312102010022022210120010
4310232101103123220
51411414340102244
642001235131520
74042604252205
oct645621233350
9172108283503
1056610862824
11220103a114a
12ab7aa43ba0
135452568889
142a50712cac
151714e43eb9
hexd2e4536e8

56610862824 has 64 divisors (see below), whose sum is σ = 149403240000. Its totient is φ = 17825840640.

The previous prime is 56610862823. The next prime is 56610862837. The reversal of 56610862824 is 42826801665.

56610862824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×566108628244 (a number of 44 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (56610862823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18717 + ... + 337004.

It is an arithmetic number, because the mean of its divisors is an integer number (2334425625).

Almost surely, 256610862824 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 56610862824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74701620000).

56610862824 is an abundant number, since it is smaller than the sum of its proper divisors (92792377176).

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

56610862824 is a wasteful number, since it uses less digits than its factorization.

56610862824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356098 (or 356094 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 56610862824 in words is "fifty-six billion, six hundred ten million, eight hundred sixty-two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 349 456 698 1047 1396 2094 2792 4188 6631 8376 13262 19893 26524 39786 53048 79572 159144 355721 711442 1067163 1422884 2134326 2845768 4268652 6758699 8537304 13517398 20276097 27034796 40552194 54069592 81104388 124146629 162208776 248293258 372439887 496586516 744879774 993173032 1489759548 2358785951 2979519096 4717571902 7076357853 9435143804 14152715706 18870287608 28305431412 56610862824