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56610605016 = 23327241466069
BaseRepresentation
bin110100101110010000…
…010100011111011000
312102010021211200220200
4310232100110133120
51411414303330031
642001225422200
74042602126450
oct645620243730
9172107750820
1056610605016
1122010235489
12ab7a93a960
1354524a8424
142a50686d60
151714de28e6
hexd2e4147d8

56610605016 has 96 divisors (see below), whose sum is σ = 175950746400. Its totient is φ = 16107310080.

The previous prime is 56610605011. The next prime is 56610605033. The reversal of 56610605016 is 61050601665.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56610605011) 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 23 ways as a sum of consecutive naturals, for example, 111571 + ... + 354498.

It is an arithmetic number, because the mean of its divisors is an integer number (1832820275).

Almost surely, 256610605016 is an apocalyptic number.

56610605016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

56610605016 is an abundant number, since it is smaller than the sum of its proper divisors (119340141384).

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

56610605016 is a wasteful number, since it uses less digits than its factorization.

56610605016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466329 (or 466322 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 56610605016 in words is "fifty-six billion, six hundred ten million, six hundred five thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 241 252 482 504 723 964 1446 1687 1928 2169 2892 3374 4338 5061 5784 6748 8676 10122 13496 15183 17352 20244 30366 40488 60732 121464 466069 932138 1398207 1864276 2796414 3262483 3728552 4194621 5592828 6524966 8389242 9787449 11185656 13049932 16778484 19574898 26099864 29362347 33556968 39149796 58724694 78299592 112322629 117449388 224645258 234898776 336967887 449290516 673935774 786258403 898581032 1010903661 1347871548 1572516806 2021807322 2358775209 2695743096 3145033612 4043614644 4717550418 6290067224 7076325627 8087229288 9435100836 14152651254 18870201672 28305302508 56610605016