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11870057637025 = 527217325692
BaseRepresentation
bin1010110010111011011010…
…0100011010010010100001
31120000202200201121010022021
42230232312210122102201
53023434334223341100
641125010150141441
72333404044111100
oct254566644322241
946022621533267
1011870057637025
1138670770a2285
1213b85b6351881
13681459748603
142d072a038037
15158b7a194a1a
hexacbb691a4a1

11870057637025 has 81 divisors (see below), whose sum is σ = 17251814876331. Its totient is φ = 8078196967680.

The previous prime is 11870057636917. The next prime is 11870057637037. The reversal of 11870057637025 is 52073675007811.

The square root of 11870057637025 is 3445295.

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

It can be written as a sum of positive squares in 13 ways, for example, as 6280842957921 + 5589214679104 = 2506161^2 + 2364152^2 .

It is not a de Polignac number, because 11870057637025 - 27 = 11870057636897 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20861260941 + ... + 20861261509.

Almost surely, 211870057637025 is an apocalyptic number.

11870057637025 is the 3445295-th square number.

11870057637025 is the 1722648-th centered octagonal number.

It is an amenable number.

11870057637025 is a deficient number, since it is larger than the sum of its proper divisors (5381757239306).

11870057637025 is an frugal number, since it uses more digits than its factorization.

11870057637025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 52.

The spelling of 11870057637025 in words is "eleven trillion, eight hundred seventy billion, fifty-seven million, six hundred thirty-seven thousand, twenty-five".

Divisors: 1 5 7 25 35 49 173 175 245 569 865 1211 1225 2845 3983 4325 6055 8477 14225 19915 27881 29929 30275 42385 98437 99575 139405 149645 209503 211925 323761 492185 689059 697025 748225 1047515 1466521 1618805 2266327 2460925 3445295 4823413 5237575 7332605 8094025 11331635 15864289 17029601 17226475 24117065 36663025 56010653 56658175 79321445 85148005 119207207 120585325 280053265 392074571 396607225 425740025 596036035 834450449 1400266325 1960372855 2744521997 2980180175 4172252245 9689842969 9801864275 13722609985 20861261225 48449214845 67828900783 68613049925 242246074225 339144503915 474802305481 1695722519575 2374011527405 11870057637025