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46781088102056 = 23711372717573883
BaseRepresentation
bin10101010001100000100100…
…01000110111011010101000
320010122020011110112100100202
422220300102020313122220
522112430132023231211
6243254534000051332
712565551654633230
oct1250602210673250
9203566143470322
1046781088102056
11139a68257203a0
1252b65a3903b48
13201458c772569
14b7a306a6acc0
15561d3ba1153b
hex2a8c122376a8

46781088102056 has 128 divisors (see below), whose sum is σ = 112728477634560. Its totient is φ = 17668351929600.

The previous prime is 46781088102013. The next prime is 46781088102097. The reversal of 46781088102056 is 65020188018764.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 46781088101992 and 46781088102010.

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, 2389691 + ... + 9963573.

It is an arithmetic number, because the mean of its divisors is an integer number (880691231520).

Almost surely, 246781088102056 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 46781088102056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56364238817280).

46781088102056 is an abundant number, since it is smaller than the sum of its proper divisors (65947389532504).

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

46781088102056 is a wasteful number, since it uses less digits than its factorization.

46781088102056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7574215 (or 7574211 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 56.

The spelling of 46781088102056 in words is "forty-six trillion, seven hundred eighty-one billion, eighty-eight million, one hundred two thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 148 154 259 271 296 308 407 518 542 616 814 1036 1084 1628 1897 2072 2168 2849 2981 3256 3794 5698 5962 7588 10027 11396 11924 15176 20054 20867 22792 23848 40108 41734 70189 80216 83468 110297 140378 166936 220594 280756 441188 561512 772079 882376 1544158 3088316 6176632 7573883 15147766 30295532 53017181 60591064 83312713 106034362 166625426 212068724 280233671 333250852 424137448 560467342 583188991 666501704 1120934684 1166377982 1961635697 2052522293 2241869368 2332755964 3082570381 3923271394 4105044586 4665511928 6165140762 7846542788 8210089172 12330281524 14367656051 15693085576 16420178344 21577992667 22577745223 24660563048 28735312102 43155985334 45155490446 57470624204 75943324841 86311970668 90310980892 114941248408 151886649682 158044216561 172623941336 180621961784 303773299364 316088433122 531603273887 607546598728 632176866244 835376573251 1063206547774 1264353732488 1670753146502 2126413095548 3341506293004 4252826191096 5847636012757 6683012586008 11695272025514 23390544051028 46781088102056