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31418278164 = 223371331103123
BaseRepresentation
bin11101010000101011…
…001110000100010100
310000002121000220021000
4131100223032010110
51003321034400124
622233334423300
72161400646420
oct352053160424
9100077026230
1031418278164
1112362887449
126109b01b30
132c69173350
141740957b80
15c3d3ce6c9
hex750ace114

31418278164 has 192 divisors, whose sum is σ = 103486996480. Its totient is φ = 8018766720.

The previous prime is 31418278163. The next prime is 31418278169. The reversal of 31418278164 is 46187281413.

31418278164 is a `hidden beast` number, since 3 + 1 + 418 + 2 + 78 + 164 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31418278163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253107 + ... + 356229.

Almost surely, 231418278164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31418278164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51743498240).

31418278164 is an abundant number, since it is smaller than the sum of its proper divisors (72068718316).

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

31418278164 is a wasteful number, since it uses less digits than its factorization.

31418278164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103187 (or 103179 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 31418278164 in words is "thirty-one billion, four hundred eighteen million, two hundred seventy-eight thousand, one hundred sixty-four".