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374044340772 = 223210390120577
BaseRepresentation
bin1010111000101101100…
…01111011001000100100
31022202110210102021011200
411130112301323020210
522112020322401042
6443500020202500
736011111303064
oct5342661731044
91282423367150
10374044340772
111346a4308463
12605aa839430
13293701211bb
1414164d313a4
159ae2da2c4c
hex5716c7b224

374044340772 has 18 divisors (see below), whose sum is σ = 945500972598. Its totient is φ = 124681446912.

The previous prime is 374044340771. The next prime is 374044340893. The reversal of 374044340772 is 277043440473.

It can be written as a sum of positive squares in only one way, i.e., 312174743076 + 61869597696 = 558726^2 + 248736^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (374044340771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5195060253 + ... + 5195060324.

It is an arithmetic number, because the mean of its divisors is an integer number (52527831811).

Almost surely, 2374044340772 is an apocalyptic number.

It is an amenable number.

374044340772 is an abundant number, since it is smaller than the sum of its proper divisors (571456631826).

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

374044340772 is a wasteful number, since it uses less digits than its factorization.

374044340772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10390120587 (or 10390120582 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 45.

The spelling of 374044340772 in words is "three hundred seventy-four billion, forty-four million, three hundred forty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 10390120577 20780241154 31170361731 41560482308 62340723462 93511085193 124681446924 187022170386 374044340772