Search a number
-
+
31992973056 = 283411241311
BaseRepresentation
bin11101110010111011…
…100000011100000000
310001120122102102110000
4131302323200130000
51011010200114211
622410344240000
72211546532632
oct356273403400
9101518372400
1031992973056
1112628221200
12624a470000
13302b24bbb5
141796dd4a52
15c73a9e656
hex772ee0700

31992973056 has 540 divisors, whose sum is σ = 107761045392. Its totient is φ = 9427968000.

The previous prime is 31992973027. The next prime is 31992973069. The reversal of 31992973056 is 65037929913.

It is a happy number.

31992973056 is a `hidden beast` number, since 319 + 9 + 297 + 30 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 31992972993 and 31992973011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 102871141 + ... + 102871451.

Almost surely, 231992973056 is an apocalyptic number.

31992973056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31992973056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53880522696).

31992973056 is an abundant number, since it is smaller than the sum of its proper divisors (75768072336).

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

31992973056 is a wasteful number, since it uses less digits than its factorization.

31992973056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The spelling of 31992973056 in words is "thirty-one billion, nine hundred ninety-two million, nine hundred seventy-three thousand, fifty-six".