Search a number
-
+
92964994056 = 2335113193161
BaseRepresentation
bin101011010010100100…
…1010011110000001000
322212221220001000100000
41112211021103300020
53010343014302211
6110412454243000
76500521261044
oct1264511236010
9285856030300
1092964994056
1136476352000
1216025956460
1389c719b12c
1446dc9d1024
152641808656
hex15a5253c08

92964994056 has 768 divisors, whose sum is σ = 317179699200. Its totient is φ = 25404192000.

The previous prime is 92964994019. The next prime is 92964994091. The reversal of 92964994056 is 65049946929.

92964994056 is a `hidden beast` number, since 9 + 2 + 96 + 499 + 4 + 0 + 56 = 666.

It is a super-2 number, since 2×929649940562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 92964993984 and 92964994002.

It is a congruent number.

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, 1524016266 + ... + 1524016326.

It is an arithmetic number, because the mean of its divisors is an integer number (412994400).

Almost surely, 292964994056 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 92964994056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158589849600).

92964994056 is an abundant number, since it is smaller than the sum of its proper divisors (224214705144).

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

92964994056 is a wasteful number, since it uses less digits than its factorization.

92964994056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 92964994056 in words is "ninety-two billion, nine hundred sixty-four million, nine hundred ninety-four thousand, fifty-six".