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379543477041 = 322053572
BaseRepresentation
bin1011000010111101000…
…11011101101100110001
31100021200001000022222100
411201132203131230301
522204301112231131
6450205421531013
736264304216251
oct5413643355461
91307601008870
10379543477041
11136a66441983
1261684413a69
1329a384c19a1
1414527401961
159d15a517e6
hex585e8ddb31

379543477041 has 9 divisors (see below), whose sum is σ = 548232136491. Its totient is φ = 253027752552.

The previous prime is 379543476989. The next prime is 379543477043. The reversal of 379543477041 is 140774345973.

It is a happy number.

The square root of 379543477041 is 616071.

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

379543477041 is a `hidden beast` number, since 3 + 7 + 95 + 43 + 477 + 0 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 238314830625 + 141228646416 = 488175^2 + 375804^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 379543477041 - 213 = 379543468849 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (379543477043) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1745535 + ... + 1950891.

Almost surely, 2379543477041 is an apocalyptic number.

379543477041 is the 616071-st square number.

379543477041 is the 308036-th centered octagonal number.

It is an amenable number.

379543477041 is a deficient number, since it is larger than the sum of its proper divisors (168688659450).

379543477041 is an frugal number, since it uses more digits than its factorization.

379543477041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410720 (or 205360 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

It can be divided in two parts, 3795 and 43477041, that added together give a square (43480836 = 65942).

The spelling of 379543477041 in words is "three hundred seventy-nine billion, five hundred forty-three million, four hundred seventy-seven thousand, forty-one".

Divisors: 1 3 9 205357 616071 1848213 42171497449 126514492347 379543477041