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214632373631 = 13173753796269
BaseRepresentation
bin1100011111100100010…
…1100001110101111111
3202112000002200021121112
43013321011201311333
512004031341424011
6242333432352235
721335535034304
oct3077105416577
9675002607545
10214632373631
118303041a075
123571bb4567b
1317316950120
14a56156b0ab
1558b2d6c58b
hex31f9161d7f

214632373631 has 64 divisors (see below), whose sum is σ = 259379366400. Its totient is φ = 175723831296.

The previous prime is 214632373601. The next prime is 214632373673. The reversal of 214632373631 is 136373236412.

It is not a de Polignac number, because 214632373631 - 210 = 214632372607 is a prime.

It is a super-2 number, since 2×2146323736312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214632373601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34233965 + ... + 34240233.

It is an arithmetic number, because the mean of its divisors is an integer number (4052802600).

Almost surely, 2214632373631 is an apocalyptic number.

214632373631 is a deficient number, since it is larger than the sum of its proper divisors (44746992769).

214632373631 is a wasteful number, since it uses less digits than its factorization.

214632373631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6468.

The product of its digits is 326592, while the sum is 41.

The spelling of 214632373631 in words is "two hundred fourteen billion, six hundred thirty-two million, three hundred seventy-three thousand, six hundred thirty-one".

Divisors: 1 13 17 37 53 79 221 481 629 689 901 1027 1343 1961 2923 4187 6269 8177 11713 17459 25493 33337 37999 49691 54431 71179 81497 106573 154919 231953 332257 433381 495251 645983 925327 1385449 2013947 2633623 3015389 3943201 4319341 5648369 6438263 8419267 12293509 18324287 26248303 34237099 51261613 73428797 109450471 159815617 208989653 238215731 311512879 341227939 446221151 971187211 2716865489 4049667427 5800874963 12625433743 16510182587 214632373631