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631127721136 = 2411113254312479
BaseRepresentation
bin10010010111100100010…
…01001100010010110000
32020100001101011010102211
421023302021030102300
540320022144034021
61201534105221504
763411635054413
oct11136211142260
92210041133384
10631127721136
11223729166170
12a2397491894
134769085ac03
14227923a5b7a
151163c9a63e1
hex92f224c4b0

631127721136 has 80 divisors (see below), whose sum is σ = 1346416680960. Its totient is φ = 284202920960.

The previous prime is 631127721127. The next prime is 631127721167.

631127721136 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6311277211362 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50568945 + ... + 50581423.

It is an arithmetic number, because the mean of its divisors is an integer number (16830208512).

Almost surely, 2631127721136 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 631127721136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673208340480).

631127721136 is an abundant number, since it is smaller than the sum of its proper divisors (715288959824).

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

631127721136 is a wasteful number, since it uses less digits than its factorization.

631127721136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15154 (or 15148 counting only the distinct ones).

The product of its digits is 63504, while the sum is 40.

The spelling of 631127721136 in words is "six hundred thirty-one billion, one hundred twenty-seven million, seven hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 113 176 226 452 904 1243 1808 2486 2543 4972 5086 9944 10172 12479 19888 20344 24958 27973 40688 49916 55946 99832 111892 137269 199664 223784 274538 287359 447568 549076 574718 1098152 1149436 1410127 2196304 2298872 2820254 3160949 4597744 5640508 6321898 11281016 12643796 15511397 22562032 25287592 31022794 31734097 50575184 62045588 63468194 124091176 126936388 248182352 253872776 349075067 507745552 698150134 1396300268 2792600536 3585952961 5585201072 7171905922 14343811844 28687623688 39445482571 57375247376 78890965142 157781930284 315563860568 631127721136