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634245542436 = 22311101132136013
BaseRepresentation
bin10010011101010111111…
…10101111001000100100
32020122002122212212012210
421032223332233020210
540342413324324221
61203211323043420
763552124105422
oct11165376571044
92218078785183
10634245542436
11224a8908a490
12a2b07670570
1347a6978579c
14229aa4bc112
1511771570276
hex93abfaf224

634245542436 has 96 divisors (see below), whose sum is σ = 1631707330176. Its totient is φ = 190143360000.

The previous prime is 634245542419. The next prime is 634245542461.

634245542436 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17593566 + ... + 17629578.

It is an arithmetic number, because the mean of its divisors is an integer number (16996951356).

Almost surely, 2634245542436 is an apocalyptic number.

634245542436 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634245542436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815853665088).

634245542436 is an abundant number, since it is smaller than the sum of its proper divisors (997461787740).

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

634245542436 is a wasteful number, since it uses less digits than its factorization.

634245542436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37453 (or 37451 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 48.

The spelling of 634245542436 in words is "six hundred thirty-four billion, two hundred forty-five million, five hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 1321 2222 2642 3333 3963 4444 5284 6666 7926 13332 14531 15852 29062 36013 43593 58124 72026 87186 108039 133421 144052 174372 216078 266842 396143 400263 432156 533684 792286 800526 1188429 1467631 1584572 1601052 2376858 2935262 3637313 4402893 4753716 5870524 7274626 8805786 10911939 14549252 17611572 21823878 40010443 43647756 47573173 80020886 95146346 120031329 142719519 160041772 190292692 240062658 285439038 480125316 523304903 570878076 1046609806 1569914709 2093219612 3139829418 4804890473 6279658836 9609780946 14414671419 19219561892 28829342838 52853795203 57658685676 105707590406 158561385609 211415180812 317122771218 634245542436