Search a number
-
+
10924692480 = 210335136079
BaseRepresentation
bin10100010110010100…
…11001010000000000
31001012100201212202000
422023022121100000
5134333210124410
65004014024000
7534503232252
oct121312312000
931170655660
1010924692480
1146a6782179
12214a7a8000
13105144b0a0
14758ca9cd2
1543e165dc0
hex28b299400

10924692480 has 352 divisors, whose sum is σ = 41817753600. Its totient is φ = 2688712704.

The previous prime is 10924692479. The next prime is 10924692481. The reversal of 10924692480 is 8429642901.

10924692480 is a `hidden beast` number, since 1 + 0 + 92 + 469 + 24 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (10924692479) and next prime (10924692481).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10924692481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1794081 + ... + 1800159.

Almost surely, 210924692480 is an apocalyptic number.

10924692480 is a gapful number since it is divisible by the number (10) 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 10924692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20908876800).

10924692480 is an abundant number, since it is smaller than the sum of its proper divisors (30893061120).

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

10924692480 is a wasteful number, since it uses less digits than its factorization.

10924692480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126 (or 6102 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10924692480 in words is "ten billion, nine hundred twenty-four million, six hundred ninety-two thousand, four hundred eighty".