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6042821904 = 2432721750377
BaseRepresentation
bin1011010000010111…
…00010010100010000
3120121010122011021200
411220023202110100
544333430300104
62435342351200
7302514065400
oct55013422420
916533564250
106042821904
112621019599
12120788b500
13753c0cb82
14414798800
15255795b39
hex1682e2510

6042821904 has 180 divisors, whose sum is σ = 20830194684. Its totient is φ = 1624928256.

The previous prime is 6042821891. The next prime is 6042821923. The reversal of 6042821904 is 4091282406.

6042821904 is a `hidden beast` number, since 604 + 28 + 21 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4549772304 + 1493049600 = 67452^2 + 38640^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94764 + ... + 145140.

Almost surely, 26042821904 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 6042821904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10415097342).

6042821904 is an abundant number, since it is smaller than the sum of its proper divisors (14787372780).

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

6042821904 is a wasteful number, since it uses less digits than its factorization.

6042821904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50422 (or 50406 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6042821904 is about 77735.5896870925. The cubic root of 6042821904 is about 1821.4332694109.

The spelling of 6042821904 in words is "six billion, forty-two million, eight hundred twenty-one thousand, nine hundred four".