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631132231136 = 25112927926987
BaseRepresentation
bin10010010111100100110…
…10011001010111100000
32020100001200122020222212
421023302122121113200
540320024322344021
61201534350021252
763412021310201
oct11136232312740
92210050566885
10631132231136
11223730766640
12a2398aa7828
1347691779954
1422792c1b5a8
151163d09785b
hex92f26995e0

631132231136 has 144 divisors (see below), whose sum is σ = 1421676023040. Its totient is φ = 273469647360.

The previous prime is 631132231117. The next prime is 631132231151.

631132231136 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 23373035 + ... + 23400021.

It is an arithmetic number, because the mean of its divisors is an integer number (9872750160).

Almost surely, 2631132231136 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 631132231136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710838011520).

631132231136 is an abundant number, since it is smaller than the sum of its proper divisors (790543791904).

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

631132231136 is a wasteful number, since it uses less digits than its factorization.

631132231136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27145 (or 27108 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

It can be divided in two parts, 631132 and 231136, that added together give a palindrome (862268).

The spelling of 631132231136 in words is "six hundred thirty-one billion, one hundred thirty-two million, two hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 79 88 116 158 176 232 316 319 352 464 632 638 841 869 928 1264 1276 1682 1738 2291 2528 2552 3364 3476 4582 5104 6728 6952 9164 9251 10208 13456 13904 18328 18502 25201 26912 26987 27808 36656 37004 50402 53974 66439 73312 74008 100804 107948 132878 148016 201608 215896 265756 296032 296857 403216 431792 531512 593714 730829 782623 806432 863584 1063024 1187428 1461658 1565246 2126048 2131973 2374856 2923316 3130492 4263946 4749712 5846632 6260984 8527892 8608853 9499424 11693264 12521968 17055784 17217706 22696067 23386528 23451703 25043936 34111568 34435412 45392134 46903406 61827217 68223136 68870824 90784268 93806812 123654434 137741648 181568536 187613624 247308868 249656737 275483296 363137072 375227248 494617736 499313474 680099387 726274144 750454496 989235472 998626948 1360198774 1792989293 1978470944 1997253896 2720397548 3585978586 3994507792 5440795096 7171957172 7989015584 10881590192 14343914344 19722882223 21763180384 28687828688 39445764446 57375657376 78891528892 157783057784 315566115568 631132231136