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31986206676 = 22322997315857
BaseRepresentation
bin11101110010100001…
…101100011111010100
310001120011200122201100
4131302201230133110
51011001432103201
622405543230100
72211435161604
oct356241543724
9101504618640
1031986206676
111262441a556
126248148330
133029a20118
141796152c04
15c731b4886
hex77286c7d4

31986206676 has 72 divisors (see below), whose sum is σ = 84504649320. Its totient is φ = 10188251136.

The previous prime is 31986206617. The next prime is 31986206687. The reversal of 31986206676 is 67660268913.

31986206676 is a `hidden beast` number, since 3 + 1 + 9 + 8 + 620 + 6 + 6 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6473811600 + 25512395076 = 80460^2 + 159726^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 56661 + ... + 259196.

It is an arithmetic number, because the mean of its divisors is an integer number (1173675685).

Almost surely, 231986206676 is an apocalyptic number.

31986206676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31986206676 is an abundant number, since it is smaller than the sum of its proper divisors (52518442644).

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

31986206676 is a wasteful number, since it uses less digits than its factorization.

31986206676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315993 (or 315988 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 31986206676 in words is "thirty-one billion, nine hundred eighty-six million, two hundred six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 97 116 174 194 261 291 348 388 522 582 873 1044 1164 1746 2813 3492 5626 8439 11252 16878 25317 33756 50634 101268 315857 631714 947571 1263428 1895142 2842713 3790284 5685426 9159853 11370852 18319706 27479559 30638129 36639412 54959118 61276258 82438677 91914387 109918236 122552516 164877354 183828774 275743161 329754708 367657548 551486322 888505741 1102972644 1777011482 2665517223 3554022964 5331034446 7996551669 10662068892 15993103338 31986206676