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26122791214116 = 2236946492
BaseRepresentation
bin1011111000010001011111…
…01100001101110000100100
310102111022111020100001000000
411330020233230031300210
511410443434022322431
6131320351123021300
75334211055442012
oct574105754156044
9112438436301000
1026122791214116
118361682691033
122b1a931b0a830
1311764a3ba007c
146644c7d6b8b2
153047a8d759e6
hex17c22fb0dc24

26122791214116 has 63 divisors (see below), whose sum is σ = 68541696588001. Its totient is φ = 8707505072544.

The previous prime is 26122791214063. The next prime is 26122791214133. The reversal of 26122791214116 is 61141219722162.

It is a happy number.

The square root of 26122791214116 is 5111046.

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

26122791214116 is a `hidden beast` number, since 2 + 6 + 1 + 227 + 9 + 1 + 2 + 1 + 411 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25683063079716 + 439728134400 = 5067846^2 + 663120^2 .

It is a super-2 number, since 2×261227912141162 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 275949160 + ... + 276043808.

Almost surely, 226122791214116 is an apocalyptic number.

26122791214116 is the 5111046-th square number.

It is an amenable number.

26122791214116 is an abundant number, since it is smaller than the sum of its proper divisors (42418905373885).

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

26122791214116 is an frugal number, since it uses more digits than its factorization.

26122791214116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189320 (or 94654 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 26122791214116 in words is "twenty-six trillion, one hundred twenty-two billion, seven hundred ninety-one million, two hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 94649 189298 283947 378596 567894 851841 1135788 1703682 2555523 3407364 5111046 7666569 10222092 15333138 22999707 30666276 45999414 68999121 91998828 137998242 275996484 8958433201 17916866402 26875299603 35833732804 53750599206 80625898809 107501198412 161251797618 241877696427 322503595236 483755392854 725633089281 967510785708 1451266178562 2176899267843 2902532357124 4353798535686 6530697803529 8707597071372 13061395607058 26122791214116