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39324476416 = 21061972
BaseRepresentation
bin100100100111111010…
…111110010000000000
310202111120221101100111
4210213322332100000
51121014031221131
630022044001104
72561332351201
oct444772762000
9122446841314
1039324476416
111574a707195
127755830194
133929132c74
141c909a55a8
15105254bab1
hex927ebe400

39324476416 has 33 divisors (see below), whose sum is σ = 78623237329. Its totient is φ = 19659065344.

The previous prime is 39324476393. The next prime is 39324476423. The reversal of 39324476416 is 61467442393.

The square root of 39324476416 is 198304.

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

It can be written as a sum of positive squares in only one way, i.e., 15455462400 + 23869014016 = 124320^2 + 154496^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 39324476416.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6342630 + ... + 6348826.

Almost surely, 239324476416 is an apocalyptic number.

39324476416 is the 198304-th square number.

It is an amenable number.

39324476416 is a deficient number, since it is larger than the sum of its proper divisors (39298760913).

39324476416 is an frugal number, since it uses more digits than its factorization.

39324476416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12414 (or 6199 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 49.

Multiplying 39324476416 by its sum of digits (49), we get a square (1926899344384 = 13881282).

The spelling of 39324476416 in words is "thirty-nine billion, three hundred twenty-four million, four hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 6197 12394 24788 49576 99152 198304 396608 793216 1586432 3172864 6345728 38402809 76805618 153611236 307222472 614444944 1228889888 2457779776 4915559552 9831119104 19662238208 39324476416