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56201829152 = 25719119311069
BaseRepresentation
bin110100010101111000…
…111101101100100000
312101001210122201211212
4310111320331230200
51410100132013102
641452504125252
74026506444210
oct642570755440
9171053581755
1056201829152
1121920516097
12aa85a66828
1353b88b3511
142a1227a240
1516de098c52
hexd15e3db20

56201829152 has 96 divisors (see below), whose sum is σ = 133233206400. Its totient is φ = 22797600768.

The previous prime is 56201829149. The next prime is 56201829179. The reversal of 56201829152 is 25192810265.

56201829152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5071874 + ... + 5082942.

It is an arithmetic number, because the mean of its divisors is an integer number (1387845900).

Almost surely, 256201829152 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 56201829152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66616603200).

56201829152 is an abundant number, since it is smaller than the sum of its proper divisors (77031377248).

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

56201829152 is a wasteful number, since it uses less digits than its factorization.

56201829152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12298 (or 12290 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 41.

The spelling of 56201829152 in words is "fifty-six billion, two hundred one million, eight hundred twenty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 1193 2128 2386 4256 4772 8351 9544 11069 16702 19088 22138 22667 33404 38176 44276 45334 66808 77483 88552 90668 133616 154966 158669 177104 181336 210311 267232 309932 317338 354208 362672 420622 619864 634676 725344 841244 1239728 1269352 1472177 1682488 2479456 2538704 2944354 3364976 5077408 5888708 6729952 11777416 13205317 23554832 26410634 47109664 52821268 92437219 105642536 184874438 211285072 250901023 369748876 422570144 501802046 739497752 1003604092 1478995504 1756307161 2007208184 2957991008 3512614322 4014416368 7025228644 8028832736 14050457288 28100914576 56201829152