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56215602144 = 25321359254489
BaseRepresentation
bin110100010110101101…
…100000001111100000
312101002202120110211200
4310112231200033200
51410112143232034
641454115241200
74030034506542
oct642655401740
9171082513750
1056215602144
1121928272a29
12aa8a5a9200
1353bb6c6510
142a14023692
1516e03b9a99
hexd16b603e0

56215602144 has 144 divisors (see below), whose sum is σ = 175078940400. Its totient is φ = 17003870208.

The previous prime is 56215602143. The next prime is 56215602181. The reversal of 56215602144 is 44120651265.

56215602144 is a `hidden beast` number, since 5 + 6 + 2 + 1 + 5 + 602 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 56215602099 and 56215602108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56215602143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93652 + ... + 348140.

It is an arithmetic number, because the mean of its divisors is an integer number (1215825975).

Almost surely, 256215602144 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 56215602144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87539470200).

56215602144 is an abundant number, since it is smaller than the sum of its proper divisors (118863338256).

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

56215602144 is a wasteful number, since it uses less digits than its factorization.

56215602144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254577 (or 254566 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 56215602144 in words is "fifty-six billion, two hundred fifteen million, six hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 59 72 78 96 104 117 118 144 156 177 208 234 236 288 312 354 416 468 472 531 624 708 767 936 944 1062 1248 1416 1534 1872 1888 2124 2301 2832 3068 3744 4248 4602 5664 6136 6903 8496 9204 12272 13806 16992 18408 24544 27612 36816 55224 73632 110448 220896 254489 508978 763467 1017956 1526934 2035912 2290401 3053868 3308357 4071824 4580802 6107736 6616714 8143648 9161604 9925071 12215472 13233428 15014851 18323208 19850142 24430944 26466856 29775213 30029702 36646416 39700284 45044553 52933712 59550426 60059404 73292832 79400568 90089106 105867424 119100852 120118808 135133659 158801136 180178212 195193063 238201704 240237616 270267318 317602272 360356424 390386126 476403408 480475232 540534636 585579189 720712848 780772252 952806816 1081069272 1171158378 1441425696 1561544504 1756737567 2162138544 2342316756 3123089008 3513475134 4324277088 4684633512 6246178016 7026950268 9369267024 14053900536 18738534048 28107801072 56215602144