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631251141152136 = 2332910144501201791
BaseRepresentation
bin1000111110000111101001110…
…0000010000100110110001000
310001210002000112101101202020120
42033201322130002010312020
51130214404314113332021
610114320434300423240
7246651250513165341
oct21741723402046610
93053060471352216
10631251141152136
1117315511855167a
125a970849b47b20
132112c95b83232b
14b1c4a0ac450c8
154cea4567db2c6
hex23e1e9c084d88

631251141152136 has 128 divisors (see below), whose sum is σ = 1648755096422400. Its totient is φ = 201144272000000.

The previous prime is 631251141152081. The next prime is 631251141152273.

631251141152136 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, 3128141401 + ... + 3128343191.

It is an arithmetic number, because the mean of its divisors is an integer number (12880899190800).

Almost surely, 2631251141152136 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 631251141152136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824377548211200).

631251141152136 is an abundant number, since it is smaller than the sum of its proper divisors (1017503955270264).

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

631251141152136 is a wasteful number, since it uses less digits than its factorization.

631251141152136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246431 (or 246427 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The spelling of 631251141152136 in words is "six hundred thirty-one trillion, two hundred fifty-one billion, one hundred forty-one million, one hundred fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 101 116 174 202 232 303 348 404 606 696 808 1212 2424 2929 5858 8787 11716 17574 23432 35148 44501 70296 89002 133503 178004 201791 267006 356008 403582 534012 605373 807164 1068024 1210746 1290529 1614328 2421492 2581058 3871587 4494601 4842984 5162116 5851939 7743174 8989202 10324232 11703878 13483803 15486348 17555817 17978404 20380891 23407756 26967606 30972696 35111634 35956808 40761782 46815512 53935212 61142673 70223268 81523564 107870424 122285346 130343429 140446536 163047128 244570692 260686858 391030287 489141384 521373716 591045839 782060574 1042747432 1182091678 1564121148 1773137517 2364183356 3128242296 3546275034 4728366712 7092550068 8979901291 14185100136 17959802582 26939703873 35919605164 53879407746 71839210328 107758815492 215517630984 260417137439 520834274878 781251412317 906970030391 1041668549756 1562502824634 1813940060782 2083337099512 2720910091173 3125005649268 3627880121564 5441820182346 6250011298536 7255760243128 10883640364692 21767280729384 26302130881339 52604261762678 78906392644017 105208523525356 157812785288034 210417047050712 315625570576068 631251141152136