Search a number
-
+
4930576297920 = 26355721331931
BaseRepresentation
bin100011110111111110100…
…1111111010111111000000
3122110100200100011122200000
41013233331033322333000
51121240310013013140
614253024145400000
71016136164013300
oct107577517727700
918410610148600
104930576297920
111631055864669
126776b4039000
13299c4a167000
141308d9507600
15883c79eaa30
hex47bfd3fafc0

4930576297920 has 4032 divisors, whose sum is σ = 24081755443200. Its totient is φ = 953753149440.

The previous prime is 4930576297877. The next prime is 4930576297921. The reversal of 4930576297920 is 297926750394.

4930576297920 is a `hidden beast` number, since 4 + 9 + 30 + 576 + 2 + 9 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×49305762979202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4930576297921) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 159050848305 + ... + 159050848335.

It is an arithmetic number, because the mean of its divisors is an integer number (5972657600).

Almost surely, 24930576297920 is an apocalyptic number.

4930576297920 is a gapful number since it is divisible by the number (40) 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 4930576297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12040877721600).

4930576297920 is an abundant number, since it is smaller than the sum of its proper divisors (19151179145280).

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

4930576297920 is a wasteful number, since it uses less digits than its factorization.

4930576297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 4930576297920 in words is "four trillion, nine hundred thirty billion, five hundred seventy-six million, two hundred ninety-seven thousand, nine hundred twenty".