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56104642640 = 245612188473
BaseRepresentation
bin110100010000000110…
…001110100001010000
312100211000210011000102
4310100012032201100
51404400242031030
641435113111532
74024216410464
oct642006164120
9170730704012
1056104642640
1121880676462
12aa593b85a8
1353a17164c7
142a033bc4a4
1516d579cc45
hexd1018e850

56104642640 has 60 divisors (see below), whose sum is σ = 132617468412. Its totient is φ = 22073840640.

The previous prime is 56104642609. The next prime is 56104642663. The reversal of 56104642640 is 4624640165.

It can be written as a sum of positive squares in 6 ways, for example, as 7778534416 + 48326108224 = 88196^2 + 219832^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56104642594 and 56104642603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203444 + ... + 391916.

Almost surely, 256104642640 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 56104642640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66308734206).

56104642640 is an abundant number, since it is smaller than the sum of its proper divisors (76512825772).

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

56104642640 is a wasteful number, since it uses less digits than its factorization.

56104642640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188608 (or 188541 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 56104642640 in words is "fifty-six billion, one hundred four million, six hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 3721 4880 7442 14884 18605 29768 37210 59536 74420 148840 188473 297680 376946 753892 942365 1507784 1884730 3015568 3769460 7538920 11496853 15077840 22993706 45987412 57484265 91974824 114968530 183949648 229937060 459874120 701308033 919748240 1402616066 2805232132 3506540165 5610464264 7013080330 11220928528 14026160660 28052321320 56104642640