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31034422692 = 22327131719139211
BaseRepresentation
bin11100111001110010…
…111011010110100100
32222002211202000112200
4130321302323112210
51002024303011232
622131303214500
72146030145310
oct347162732644
988084660480
1031034422692
1112186139119
126021447430
132c07795330
141705996b40
15c1985977c
hex739cbb5a4

31034422692 has 576 divisors, whose sum is σ = 108899481600. Its totient is φ = 7211151360.

The previous prime is 31034422667. The next prime is 31034422733. The reversal of 31034422692 is 29622443013.

31034422692 is a `hidden beast` number, since 3 + 1 + 0 + 344 + 226 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147082467 + ... + 147082677.

It is an arithmetic number, because the mean of its divisors is an integer number (189061600).

Almost surely, 231034422692 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 31034422692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54449740800).

31034422692 is an abundant number, since it is smaller than the sum of its proper divisors (77865058908).

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

31034422692 is a wasteful number, since it uses less digits than its factorization.

31034422692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 31034422692 in words is "thirty-one billion, thirty-four million, four hundred twenty-two thousand, six hundred ninety-two".