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31638379968 = 2632134225211
BaseRepresentation
bin11101011101110010…
…110101110111000000
310000122221012020011200
4131131302311313000
51004243411124333
622311240141200
72200012535556
oct353562656700
9100587166150
1031638379968
111246604a168
12616b767800
132ca29481c0
141761c8dbd6
15c528a9c13
hex75dcb5dc0

31638379968 has 84 divisors (see below), whose sum is σ = 97661550168. Its totient is φ = 9734883840.

The previous prime is 31638379961. The next prime is 31638379973. The reversal of 31638379968 is 86997383613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31638379961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2105118 + ... + 2120093.

It is an arithmetic number, because the mean of its divisors is an integer number (1162637502).

Almost surely, 231638379968 is an apocalyptic number.

It is an amenable number.

31638379968 is an abundant number, since it is smaller than the sum of its proper divisors (66023170200).

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

31638379968 is a wasteful number, since it uses less digits than its factorization.

31638379968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225242 (or 4225229 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 31638379968 in words is "thirty-one billion, six hundred thirty-eight million, three hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 4225211 8450422 12675633 16900844 25351266 33801688 38026899 50702532 54927743 67603376 76053798 101405064 109855486 135206752 152107596 164783229 202810128 219710972 270413504 304215192 329566458 405620256 439421944 494349687 608430384 659132916 811240512 878843888 988699374 1216860768 1318265832 1757687776 1977398748 2433721536 2636531664 3515375552 3954797496 5273063328 7909594992 10546126656 15819189984 31638379968