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399486974112 = 25341394092711
BaseRepresentation
bin1011101000000110100…
…01110111100010100000
31102012010221012221210000
411310003101313202200
523021122131132422
6503304412140000
740601442152502
oct5640321674240
91365127187700
10399486974112
1114446aa89466
126550b467600
132b896275325
1415499db9d72
15a5d185acac
hex5d034778a0

399486974112 has 240 divisors, whose sum is σ = 1186663262400. Its totient is φ = 131832437760.

The previous prime is 399486974111. The next prime is 399486974113. The reversal of 399486974112 is 211479684993.

399486974112 is a `hidden beast` number, since 3 + 99 + 48 + 6 + 97 + 411 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (399486974111) and next prime (399486974113).

It is a self number, because there is not a number n which added to its sum of digits gives 399486974112.

It is not an unprimeable number, because it can be changed into a prime (399486974111) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 147356437 + ... + 147359147.

It is an arithmetic number, because the mean of its divisors is an integer number (4944430260).

Almost surely, 2399486974112 is an apocalyptic number.

399486974112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399486974112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593331631200).

399486974112 is an abundant number, since it is smaller than the sum of its proper divisors (787176288288).

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

399486974112 is a wasteful number, since it uses less digits than its factorization.

399486974112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3264 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 399486974112 in words is "three hundred ninety-nine billion, four hundred eighty-six million, nine hundred seventy-four thousand, one hundred twelve".