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554664672 = 25342947157
BaseRepresentation
bin100001000011111…
…000001011100000
31102122200212220000
4201003320023200
52113443232142
6131012220000
716513400112
oct4103701340
91378625800
10554664672
11265103861
1213590a600
138abb4763
14539453b2
1533a6514c
hex210f82e0

554664672 has 240 divisors, whose sum is σ = 1734384960. Its totient is φ = 173601792.

The previous prime is 554664667. The next prime is 554664779. The reversal of 554664672 is 276466455.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 3532818 + ... + 3532974.

It is an arithmetic number, because the mean of its divisors is an integer number (7226604).

Almost surely, 2554664672 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 554664672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867192480).

554664672 is an abundant number, since it is smaller than the sum of its proper divisors (1179720288).

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

554664672 is a wasteful number, since it uses less digits than its factorization.

554664672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 554664672 is about 23551.3199630084. The cubic root of 554664672 is about 821.6310347936.

The spelling of 554664672 in words is "five hundred fifty-four million, six hundred sixty-four thousand, six hundred seventy-two".