Search a number
-
+
54992120832000 = 21336531137181
BaseRepresentation
bin11001000000011110110011…
…10100111110000000000000
321012201012021110020012000000
430200033121310332000000
524201442330413111000
6312543010452000000
714404023006361062
oct1440173164760000
9235635243205000
1054992120832000
1116582033628060
126201a12000000
13248b9722cc951
14d818c077b732
156557107a3000
hex3203d9d3e000

54992120832000 has 3136 divisors, whose sum is σ = 231832555351488. Its totient is φ = 12899450880000.

The previous prime is 54992120831993. The next prime is 54992120832053. The reversal of 54992120832000 is 23802129945.

54992120832000 is a `hidden beast` number, since 5 + 499 + 2 + 120 + 8 + 32 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 303823871910 + ... + 303823872090.

Almost surely, 254992120832000 is an apocalyptic number.

54992120832000 is a gapful number since it is divisible by the number (50) 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 54992120832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115916277675744).

54992120832000 is an abundant number, since it is smaller than the sum of its proper divisors (176840434519488).

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

54992120832000 is an equidigital number, since it uses as much as digits as its factorization.

54992120832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 54992120832000 in words is "fifty-four trillion, nine hundred ninety-two billion, one hundred twenty million, eight hundred thirty-two thousand".