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901637606116 = 221325926192
BaseRepresentation
bin11010001111011011100…
…10100000101011100100
310012012021200020002111201
431013231302200223210
5104233023211343431
61530112343012244
7122066264125252
oct15075562405344
93165250202451
10901637606116
11318422a17585
121268b073a084
1367040b2ac00
14318d4aa95d2
15186c11a8461
hexd1edca0ae4

901637606116 has 81 divisors (see below), whose sum is σ = 1740838675401. Its totient is φ = 408426321888.

The previous prime is 901637606099. The next prime is 901637606119. The reversal of 901637606116 is 611606736109.

The square root of 901637606116 is 949546.

It is a perfect power (a square), and thus also a powerful number.

901637606116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 133378344100 + 768259262016 = 365210^2 + 876504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (901637606119) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1456603255 + ... + 1456603873.

Almost surely, 2901637606116 is an apocalyptic number.

901637606116 is the 949546-th square number.

It is an amenable number.

901637606116 is a deficient number, since it is larger than the sum of its proper divisors (839201069285).

901637606116 is an equidigital number, since it uses as much as digits as its factorization.

901637606116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The spelling of 901637606116 in words is "nine hundred one billion, six hundred thirty-seven million, six hundred six thousand, one hundred sixteen".

Divisors: 1 2 4 13 26 52 59 118 169 236 338 619 676 767 1238 1534 2476 3068 3481 6962 8047 9971 13924 16094 19942 32188 36521 39884 45253 73042 90506 104611 146084 181012 209222 383161 418444 474773 588289 766322 949546 1176578 1532644 1899092 2154739 2353156 4309478 4981093 6172049 8618956 9962186 12344098 19924372 22606499 24688196 28011607 45212998 56023214 64754209 90425996 112046428 129508418 259016836 293884487 364150891 587768974 728301782 1175537948 1333783441 1456603564 2667566882 3820498331 5335133764 7640996662 15281993324 17339184733 34678369466 69356738932 225409401529 450818803058 901637606116