Search a number
-
+
31916997504 = 273272743761
BaseRepresentation
bin11101101110011001…
…101011101110000000
310001101100110110120200
4131232121223232000
51010331222410004
622355032005200
72206635000600
oct355631535600
9101340413520
1031916997504
1112599349697
126228b30800
13301859a552
14178ac98c00
15c6c093239
hex76e66bb80

31916997504 has 288 divisors, whose sum is σ = 107123880240. Its totient is φ = 9094901760.

The previous prime is 31916997503. The next prime is 31916997521. The reversal of 31916997504 is 40579961913.

31916997504 is a `hidden beast` number, since 31 + 9 + 16 + 9 + 97 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31916997503) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 41940484 + ... + 41941244.

Almost surely, 231916997504 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 31916997504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53561940120).

31916997504 is an abundant number, since it is smaller than the sum of its proper divisors (75206882736).

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

31916997504 is a wasteful number, since it uses less digits than its factorization.

31916997504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 31916997504 in words is "thirty-one billion, nine hundred sixteen million, nine hundred ninety-seven thousand, five hundred four".