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315630532202016 = 25343276779112087
BaseRepresentation
bin100011111000100000111010…
…1110000001000111000100000
31112101112222120110212120212210
41013301001311300020320200
5312332242312220431031
63035142355331122120
7123324360553160013
oct10761016560107040
91471488513776783
10315630532202016
119162a17aa588a9
122b49738a743340
1310716aa6995305
1457d285657537a
15267541b544746
hex11f1075c08e20

315630532202016 has 96 divisors (see below), whose sum is σ = 828851269155840. Its totient is φ = 105169407872256.

The previous prime is 315630532202009. The next prime is 315630532202149. The reversal of 315630532202016 is 610202235036513.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 2815886325 + ... + 2815998411.

It is an arithmetic number, because the mean of its divisors is an integer number (8633867387040).

Almost surely, 2315630532202016 is an apocalyptic number.

It is an amenable number.

315630532202016 is an abundant number, since it is smaller than the sum of its proper divisors (513220736953824).

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

315630532202016 is a wasteful number, since it uses less digits than its factorization.

315630532202016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123206 (or 123198 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

Adding to 315630532202016 its reverse (610202235036513), we get a palindrome (925832767238529).

The spelling of 315630532202016 in words is "three hundred fifteen trillion, six hundred thirty billion, five hundred thirty-two million, two hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4327 6779 8654 12981 13558 17308 20337 25962 27116 34616 40674 51924 54232 69232 81348 103848 108464 112087 138464 162696 207696 216928 224174 325392 336261 415392 448348 650784 672522 896696 1345044 1793392 2690088 3586784 5380176 10760352 29332733 58665466 87998199 117330932 175996398 234661864 351992796 469323728 485000449 703985592 759837773 938647456 970000898 1407971184 1455001347 1519675546 1940001796 2279513319 2815942368 2910002694 3039351092 3880003592 4559026638 5820005388 6078702184 7760007184 9118053276 11640010776 12157404368 15520014368 18236106552 23280021552 24314808736 36472213104 46560043104 72944426208 3287818043771 6575636087542 9863454131313 13151272175084 19726908262626 26302544350168 39453816525252 52605088700336 78907633050504 105210177400672 157815266101008 315630532202016