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6052374432 = 253413533389
BaseRepresentation
bin1011010001011111…
…11110011110100000
3120121210121110220000
411220233332132200
544343401440212
62440323220000
7302661222336
oct55057763640
916553543800
106052374432
112626453545
12120ab17600
13755ba5b60
14415b63b56
152565311dc
hex168bfe7a0

6052374432 has 240 divisors, whose sum is σ = 19536529320. Its totient is φ = 1826592768.

The previous prime is 6052374431. The next prime is 6052374457. The reversal of 6052374432 is 2344732506.

6052374432 is a `hidden beast` number, since 60 + 523 + 7 + 44 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5885344656 + 167029776 = 76716^2 + 12924^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6052374431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1784194 + ... + 1787582.

Almost surely, 26052374432 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 6052374432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9768264660).

6052374432 is an abundant number, since it is smaller than the sum of its proper divisors (13484154888).

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

6052374432 is a wasteful number, since it uses less digits than its factorization.

6052374432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 6052374432 is about 77797.0078601999. The cubic root of 6052374432 is about 1822.3925415481.

The spelling of 6052374432 in words is "six billion, fifty-two million, three hundred seventy-four thousand, four hundred thirty-two".