Search a number
-
+
10620924012 = 22331731191977
BaseRepresentation
bin10011110010000111…
…00111000001101100
31000102012010211202000
421321003213001230
5133222424032022
64513523132300
7524124236016
oct117103470154
930365124660
1010620924012
114560264456
122084b14090
131003530c2a
1472a7d51b6
154226606ac
hex2790e706c

10620924012 has 192 divisors, whose sum is σ = 30284513280. Its totient is φ = 3204403200.

The previous prime is 10620923993. The next prime is 10620924053. The reversal of 10620924012 is 21042902601.

10620924012 is a `hidden beast` number, since 1 + 0 + 620 + 9 + 24 + 0 + 12 = 666.

It is a super-2 number, since 2×106209240122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10870468 + ... + 10871444.

It is an arithmetic number, because the mean of its divisors is an integer number (157731840).

Almost surely, 210620924012 is an apocalyptic number.

10620924012 is a gapful number since it is divisible by the number (12) 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 10620924012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15142256640).

10620924012 is an abundant number, since it is smaller than the sum of its proper divisors (19663589268).

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

10620924012 is a wasteful number, since it uses less digits than its factorization.

10620924012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10620924012 in words is "ten billion, six hundred twenty million, nine hundred twenty-four thousand, twelve".