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4920155136 = 21037133
BaseRepresentation
bin1001001010100001…
…11001110000000000
3110200220010210000000
410211100321300000
540034024431021
62132120000000
7232632425421
oct44520716000
913626123000
104920155136
1120a5332416
12b53900000
13605454000
14349639648
151dbe33b26
hex125439c00

4920155136 has 352 divisors, whose sum is σ = 15979700800. Its totient is φ = 1513893888.

The previous prime is 4920155131. The next prime is 4920155137. The reversal of 4920155136 is 6315510294.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4920155136 is a `hidden beast` number, since 492 + 0 + 155 + 13 + 6 = 666.

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 4920155136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4920155131) 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, 378473466 + ... + 378473478.

Almost surely, 24920155136 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 4920155136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7989850400).

4920155136 is an abundant number, since it is smaller than the sum of its proper divisors (11059545664).

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

4920155136 is an frugal number, since it uses more digits than its factorization.

4920155136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 4920155136 is about 70143.8175180108. The cubic root of 4920155136 is about 1700.8248748909.

Multiplying 4920155136 by its sum of digits (36), we get a cube (177125584896 = 56163).

The spelling of 4920155136 in words is "four billion, nine hundred twenty million, one hundred fifty-five thousand, one hundred thirty-six".