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56587230128 = 24111343737879
BaseRepresentation
bin110100101100110111…
…001001101110110000
312102001122212010121002
4310230313021232300
51411342312331003
641555032421132
74042166343212
oct645467115660
9172048763532
1056587230128
1121aa901a5a0
12ab72b477a8
13544a6b2b30
142a4b5205b2
151712d26a88
hexd2cdc9bb0

56587230128 has 160 divisors (see below), whose sum is σ = 133623114240. Its totient is φ = 22870149120.

The previous prime is 56587230109. The next prime is 56587230137. The reversal of 56587230128 is 82103278565.

It is a super-2 number, since 2×565872301282 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7178093 + ... + 7185971.

It is an arithmetic number, because the mean of its divisors is an integer number (835144464).

Almost surely, 256587230128 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 56587230128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66811557120).

56587230128 is an abundant number, since it is smaller than the sum of its proper divisors (77035884112).

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

56587230128 is a wasteful number, since it uses less digits than its factorization.

56587230128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8027 (or 8021 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 47.

The spelling of 56587230128 in words is "fifty-six billion, five hundred eighty-seven million, two hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 43 44 52 73 86 88 104 143 146 172 176 208 286 292 344 473 559 572 584 688 803 946 949 1118 1144 1168 1606 1892 1898 2236 2288 3139 3212 3784 3796 4472 6149 6278 6424 7568 7592 7879 8944 10439 12298 12556 12848 15184 15758 20878 24596 25112 31516 34529 40807 41756 49192 50224 63032 69058 81614 83512 86669 98384 102427 126064 138116 163228 167024 173338 204854 276232 326456 338797 346676 409708 448877 552464 575167 652912 677594 693352 819416 897754 1126697 1150334 1355188 1386704 1638832 1795508 2253394 2300668 2710376 3591016 3726767 4404361 4506788 4601336 5420752 6326837 7182032 7453534 7477171 8808722 9013576 9202672 12653674 14907068 14954342 17617444 18027152 24732181 25307348 29814136 29908684 35234888 48447971 49464362 50614696 59628272 59817368 70469776 82248881 96895942 98928724 101229392 119634736 164497762 193791884 197857448 272053991 321518353 328995524 387583768 395714896 544107982 643036706 657991048 775167536 1088215964 1286073412 1315982096 2176431928 2572146824 3536701883 4352863856 5144293648 7073403766 14146807532 28293615064 56587230128