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5444668944 = 2432112132432
BaseRepresentation
bin1010001001000011…
…10000111000010000
3112001110002211200100
411010201300320100
542122313401234
62300134052400
7251631631251
oct50441607020
915043084610
105444668944
112344412400
12107b4aa100
1368a00cc00
14399172b28
1521cee0399
hex144870e10

5444668944 has 405 divisors, whose sum is σ = 18567711981. Its totient is φ = 1487566080.

The previous prime is 5444668927. The next prime is 5444668961. The reversal of 5444668944 is 4498664445.

The square root of 5444668944 is 73788.

It is a perfect power (a square), and thus also a powerful number.

5444668944 is a `hidden beast` number, since 54 + 446 + 68 + 94 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5444668927) and next prime (5444668961).

It can be written as a sum of positive squares in only one way, i.e., 805424400 + 4639244544 = 28380^2 + 68112^2 .

Its product of digits (13271040) is a multiple of the sum of its prime divisors (72).

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 80 ways as a sum of consecutive naturals, for example, 126620187 + ... + 126620229.

Almost surely, 25444668944 is an apocalyptic number.

5444668944 is the 73788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5444668944

5444668944 is an abundant number, since it is smaller than the sum of its proper divisors (13123043037).

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

5444668944 is a wasteful number, since it uses less digits than its factorization.

5444668944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 72 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The cubic root of 5444668944 is about 1759.2348757593.

The spelling of 5444668944 in words is "five billion, four hundred forty-four million, six hundred sixty-eight thousand, nine hundred forty-four".