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399631322896 = 24132121572
BaseRepresentation
bin1011101000010111110…
…00100000111100010000
31102012111222211122002021
411310023320200330100
523021421104313041
6503331010101224
740605144124441
oct5641370407420
91365458748067
10399631322896
11144534510883
126554b87a814
132b8ba145c00
14154b12332c8
15a5de370cd1
hex5d0be20f10

399631322896 has 45 divisors (see below), whose sum is σ = 838496670111. Its totient is φ = 184430054016.

The previous prime is 399631322879. The next prime is 399631322903. The reversal of 399631322896 is 698223136993.

The square root of 399631322896 is 632164.

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

It can be written as a sum of positive squares in 4 ways, for example, as 267251777296 + 132379545600 = 516964^2 + 363840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32866450 + ... + 32878606.

Almost surely, 2399631322896 is an apocalyptic number.

399631322896 is the 632164-th square number.

It is an amenable number.

399631322896 is an abundant number, since it is smaller than the sum of its proper divisors (438865347215).

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

399631322896 is an frugal number, since it uses more digits than its factorization.

399631322896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24348 (or 12172 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 61.

The spelling of 399631322896 in words is "three hundred ninety-nine billion, six hundred thirty-one million, three hundred twenty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 12157 24314 48628 97256 158041 194512 316082 632164 1264328 2054533 2528656 4109066 8218132 16436264 32872528 147792649 295585298 591170596 1182341192 1921304437 2364682384 3842608874 7685217748 15370435496 24976957681 30740870992 49953915362 99907830724 199815661448 399631322896