Search a number
-
+
10496163024 = 2432293189911
BaseRepresentation
bin10011100011001111…
…01011110011010000
31000002111101022211200
421301213223303100
5132444004204044
64453305111200
7521050625244
oct116147536320
930074338750
1010496163024
1144a68a06a6
12204b188500
13cb372ac69
14717dda424
15416719369
hex2719ebcd0

10496163024 has 240 divisors, whose sum is σ = 31755110400. Its totient is φ = 3228825600.

The previous prime is 10496162987. The next prime is 10496163043. The reversal of 10496163024 is 42036169401.

10496163024 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 616 + 30 + 2 + 4 = 666.

It is a super-2 number, since 2×104961630242 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10496163024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11521129 + ... + 11522039.

It is an arithmetic number, because the mean of its divisors is an integer number (132312960).

Almost surely, 210496163024 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 10496163024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15877555200).

10496163024 is an abundant number, since it is smaller than the sum of its proper divisors (21258947376).

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

10496163024 is a wasteful number, since it uses less digits than its factorization.

10496163024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10496163024 in words is "ten billion, four hundred ninety-six million, one hundred sixty-three thousand, twenty-four".