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2329374960441 = 36565272
BaseRepresentation
bin100001111001011001100…
…100010010101100111001
322020200112010221111000000
4201321121210102230321
5301131024442213231
64542033341303213
7330202040321454
oct41713144225471
98220463844000
102329374960441
118189784906a1
12317546b64b09
1313b875103279
1480a5701649b
15408d449d6e6
hex21e59912b39

2329374960441 has 21 divisors (see below), whose sum is σ = 3492526574901. Its totient is φ = 1552889168172.

The previous prime is 2329374960433. The next prime is 2329374960443. The reversal of 2329374960441 is 1440694739232.

The square root of 2329374960441 is 1526229.

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

2329374960441 is a `hidden beast` number, since 2 + 3 + 29 + 3 + 7 + 4 + 9 + 604 + 4 + 1 = 666.

It is not a de Polignac number, because 2329374960441 - 23 = 2329374960433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2329374960443) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 41179920 + ... + 41236446.

It is an arithmetic number, because the mean of its divisors is an integer number (166310789281).

Almost surely, 22329374960441 is an apocalyptic number.

2329374960441 is the 1526229-th square number.

2329374960441 is the 763115-th centered octagonal number.

It is an amenable number.

2329374960441 is a deficient number, since it is larger than the sum of its proper divisors (1163151614460).

2329374960441 is an frugal number, since it uses more digits than its factorization.

2329374960441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113072 (or 56530 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 2329374960441 in words is "two trillion, three hundred twenty-nine billion, three hundred seventy-four million, nine hundred sixty thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 243 729 56527 169581 508743 1526229 4578687 13736061 41208183 3195301729 9585905187 28757715561 86273146683 258819440049 776458320147 2329374960441