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4872870568008 = 2333173136795393
BaseRepresentation
bin100011011101000110110…
…1110000010000001001000
3122020211201201122211211000
41012322031232002001020
51114314114331134013
614210322115335000
71012024163263542
oct106721556020110
918224651584730
104872870568008
111609633444693
1266848a5b1460
13294681b26bb1
1412bbc3630692
1586b4b8d6973
hex46e8db82048

4872870568008 has 128 divisors (see below), whose sum is σ = 13624094764800. Its totient is φ = 1613702965248.

The previous prime is 4872870568003. The next prime is 4872870568031. The reversal of 4872870568008 is 8008650782784.

4872870568008 is a `hidden beast` number, since 48 + 7 + 28 + 7 + 0 + 568 + 0 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4872870568003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51034360 + ... + 51129752.

It is an arithmetic number, because the mean of its divisors is an integer number (106438240350).

Almost surely, 24872870568008 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 4872870568008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812047382400).

4872870568008 is an abundant number, since it is smaller than the sum of its proper divisors (8751224196792).

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

4872870568008 is a wasteful number, since it uses less digits than its factorization.

4872870568008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96948 (or 96938 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 4872870568008 in words is "four trillion, eight hundred seventy-two billion, eight hundred seventy million, five hundred sixty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 173 216 346 519 692 1038 1367 1384 1557 2076 2734 3114 4101 4152 4671 5468 6228 8202 9342 10936 12303 12456 16404 18684 24606 32808 36909 37368 49212 73818 95393 98424 147636 190786 236491 286179 295272 381572 472982 572358 709473 763144 858537 945964 1144716 1418946 1717074 1891928 2128419 2289432 2575611 2837892 3434148 4256838 5151222 5675784 6385257 6868296 8513676 10302444 12770514 16502989 17027352 20604888 25541028 33005978 49508967 51082056 66011956 99017934 130402231 132023912 148526901 198035868 260804462 297053802 391206693 396071736 445580703 521608924 594107604 782413386 891161406 1043217848 1173620079 1188215208 1564826772 1782322812 2347240158 3129653544 3520860237 3564645624 4694480316 7041720474 9388960632 14083440948 22559585963 28166881896 45119171926 67678757889 90238343852 135357515778 180476687704 203036273667 270715031556 406072547334 541430063112 609108821001 812145094668 1218217642002 1624290189336 2436435284004 4872870568008