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319830422472 = 2332112732832
BaseRepresentation
bin1001010011101110110…
…00001111001111001000
31010120112112100212100200
410221313120033033020
520220003042004342
6402532243532200
732051460510201
oct4516730171710
91116475325320
10319830422472
11113703a32200
1251b9a68a060
13242103415c2
14116a0ac45a8
1584bd5ce94c
hex4a7760f3c8

319830422472 has 324 divisors, whose sum is σ = 977104211265. Its totient is φ = 94438967040.

The previous prime is 319830422467. The next prime is 319830422477. The reversal of 319830422472 is 274224038913.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

319830422472 is a `hidden beast` number, since 3 + 198 + 30 + 422 + 4 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (319830422467) and next prime (319830422477).

It can be written as a sum of positive squares in 2 ways, for example, as 318360006756 + 1470415716 = 564234^2 + 38346^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=399894.

It is not an unprimeable number, because it can be changed into a prime (319830422477) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3853378543 + ... + 3853378625.

Almost surely, 2319830422472 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 319830422472

319830422472 is an abundant number, since it is smaller than the sum of its proper divisors (657273788793).

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

319830422472 is a wasteful number, since it uses less digits than its factorization.

319830422472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 319830422472 in words is "three hundred nineteen billion, eight hundred thirty million, four hundred twenty-two thousand, four hundred seventy-two".