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6052482120960 = 283351176120921
BaseRepresentation
bin101100000010011010000…
…0010111111110100000000
3210102121111212220112101000
41120010310002333310000
51243130440410332320
620512245533012000
71163164102116162
oct130046402776400
923377455815330
106052482120960
111a23930407740
12819018024000
1334b99240c042
1416cd28038932
15a768b6c5c90
hex581340bfd00

6052482120960 has 576 divisors, whose sum is σ = 23462352587520. Its totient is φ = 1465270272000.

The previous prime is 6052482120911. The next prime is 6052482120973. The reversal of 6052482120960 is 690212842506.

6052482120960 is a `hidden beast` number, since 60 + 5 + 2 + 482 + 1 + 20 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289291300 + ... + 289312220.

It is an arithmetic number, because the mean of its divisors is an integer number (40733251020).

Almost surely, 26052482120960 is an apocalyptic number.

6052482120960 is a gapful number since it is divisible by the number (60) 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 6052482120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11731176293760).

6052482120960 is an abundant number, since it is smaller than the sum of its proper divisors (17409870466560).

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

6052482120960 is a wasteful number, since it uses less digits than its factorization.

6052482120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21723 (or 21703 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 6052482120960 in words is "six trillion, fifty-two billion, four hundred eighty-two million, one hundred twenty thousand, nine hundred sixty".