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5672094336 = 2735172631
BaseRepresentation
bin1010100100001010…
…10100101010000000
3112122022001020200000
411102011110222000
543104024004321
62334500400000
7260363002116
oct52205245200
915568036600
105672094336
112450827477
1211236a6000
136c517a34c
143bb453ab6
15232e65826
hex152154a80

5672094336 has 288 divisors, whose sum is σ = 18009307680. Its totient is φ = 1776660480.

The previous prime is 5672094313. The next prime is 5672094341. The reversal of 5672094336 is 6334902765.

5672094336 is a `hidden beast` number, since 5 + 6 + 7 + 209 + 433 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 5672094291 and 5672094300.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 8988741 + ... + 8989371.

Almost surely, 25672094336 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 5672094336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9004653840).

5672094336 is an abundant number, since it is smaller than the sum of its proper divisors (12337213344).

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

5672094336 is an equidigital number, since it uses as much as digits as its factorization.

5672094336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 5672094336 is about 75313.3078280326. The cubic root of 5672094336 is about 1783.3961102968.

The spelling of 5672094336 in words is "five billion, six hundred seventy-two million, ninety-four thousand, three hundred thirty-six".