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372431913984 = 210341321632
BaseRepresentation
bin1010110101101101010…
…11000000010000000000
31022121022102100111110000
411122312223000100000
522100220032221414
6443032020240000
735623132015254
oct5326653002000
91277272314400
10372431913984
11133a47119339
126021a840000
1329174057100
1414050b24264
159a4b54bb09
hex56b6ac0400

372431913984 has 495 divisors, whose sum is σ = 1211719232493. Its totient is φ = 113891401728.

The previous prime is 372431913947. The next prime is 372431913989. The reversal of 372431913984 is 489319134273.

The square root of 372431913984 is 610272.

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

372431913984 is a `hidden beast` number, since 3 + 7 + 243 + 1 + 9 + 1 + 398 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55093478400 + 317338435584 = 234720^2 + 563328^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3919104) is a multiple of the sum of its prime factors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 372431913984.

It is not an unprimeable number, because it can be changed into a prime (372431913989) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2284858287 + ... + 2284858449.

Almost surely, 2372431913984 is an apocalyptic number.

372431913984 is the 610272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 372431913984

372431913984 is an abundant number, since it is smaller than the sum of its proper divisors (839287318509).

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

372431913984 is an equidigital number, since it uses as much as digits as its factorization.

372431913984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 181 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 372431913984 in words is "three hundred seventy-two billion, four hundred thirty-one million, nine hundred thirteen thousand, nine hundred eighty-four".