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56150650560 = 2635401145861
BaseRepresentation
bin110100010010110101…
…101110111011000000
312100221020100121000110
4310102311232323000
51404444031304220
641443435151320
74025315440404
oct642265567300
9170836317013
1056150650560
11218a463a934
12aa708a5540
1353ab104824
142a09557104
1516d9839be0
hexd12d6eec0

56150650560 has 112 divisors (see below), whose sum is σ = 178724125152. Its totient is φ = 14936064000.

The previous prime is 56150650529. The next prime is 56150650601. The reversal of 56150650560 is 6505605165.

56150650560 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-2 number, since 2×561506505602 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312030 + ... + 457890.

Almost surely, 256150650560 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 56150650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89362062576).

56150650560 is an abundant number, since it is smaller than the sum of its proper divisors (122573474592).

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

56150650560 is a wasteful number, since it uses less digits than its factorization.

56150650560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146282 (or 146272 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 39.

The spelling of 56150650560 in words is "fifty-six billion, one hundred fifty million, six hundred fifty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 401 480 802 960 1203 1604 2005 2406 3208 4010 4812 6015 6416 8020 9624 12030 12832 16040 19248 24060 25664 32080 38496 48120 64160 76992 96240 128320 145861 192480 291722 384960 437583 583444 729305 875166 1166888 1458610 1750332 2187915 2333776 2917220 3500664 4375830 4667552 5834440 7001328 8751660 9335104 11668880 14002656 17503320 23337760 28005312 35006640 46675520 58490261 70013280 116980522 140026560 175470783 233961044 292451305 350941566 467922088 584902610 701883132 877353915 935844176 1169805220 1403766264 1754707830 1871688352 2339610440 2807532528 3509415660 3743376704 4679220880 5615065056 7018831320 9358441760 11230130112 14037662640 18716883520 28075325280 56150650560