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215982967856881 = 29265927692
BaseRepresentation
bin110001000110111101110100…
…000100111001111011110001
31001022201202210101102100022111
4301012331310010321323301
5211302131104232410011
62043205112231405321
763331153200446341
oct6106756404717361
91038652711370274
10215982967856881
1162900953766585
1220282b42b23841
13936914cc0b4a4
143b498ba896d21
1519e832ca44121
hexc46f74139ef1

215982967856881 has 27 divisors (see below), whose sum is σ = 224319124915041. Its totient is φ = 207948071589888.

The previous prime is 215982967856863. The next prime is 215982967856911. The reversal of 215982967856881 is 188658769289512.

The square root of 215982967856881 is 14696359.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1566104576481 + 214416863280400 = 1251441^2 + 14642980^2 .

It is not a de Polignac number, because 215982967856881 - 27 = 215982967856753 is a prime.

It is a super-2 number, since 2×2159829678568812 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (215982967856081) 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, 280862116465 + ... + 280862117233.

Almost surely, 2215982967856881 is an apocalyptic number.

215982967856881 is the 14696359-th square number.

215982967856881 is the 7348180-th centered octagonal number.

It is an amenable number.

215982967856881 is a deficient number, since it is larger than the sum of its proper divisors (8336157058160).

215982967856881 is an frugal number, since it uses more digits than its factorization.

215982967856881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 1457 counting only the distinct ones).

The product of its digits is 8360755200, while the sum is 85.

The spelling of 215982967856881 in words is "two hundred fifteen trillion, nine hundred eighty-two billion, nine hundred sixty-seven million, eight hundred fifty-six thousand, eight hundred eighty-one".

Divisors: 1 29 659 769 841 19111 22301 434281 506771 554219 591361 646729 12594149 14696359 17149469 333962089 365230321 389706899 426194411 497334601 9684900581 11301500071 256816846441 280862116849 327743502059 7447688546789 215982967856881