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379223187721 = 72879732
BaseRepresentation
bin1011000010010110111…
…01101010000100001001
31100020211201022221121221
411201023131222010021
522203122114001341
6450113541002041
736253334624200
oct5411335520411
91306751287557
10379223187721
1113691166a864
12615b50b3321
13299b703bb91
14144d6a6a237
159ce7885ed1
hex584b76a109

379223187721 has 9 divisors (see below), whose sum is σ = 441142192071. Its totient is φ = 325044751752.

The previous prime is 379223187713. The next prime is 379223187731. The reversal of 379223187721 is 127781322973.

The square root of 379223187721 is 615811.

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

It can be written as a sum of positive squares in only one way, i.e., 31401612025 + 347821575696 = 177205^2 + 589764^2 .

It is not a de Polignac number, because 379223187721 - 23 = 379223187713 is a prime.

It is a super-2 number, since 2×3792231877212 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (379223187701) 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 8 ways as a sum of consecutive naturals, for example, 4266691 + ... + 4354663.

It is an arithmetic number, because the mean of its divisors is an integer number (49015799119).

Almost surely, 2379223187721 is an apocalyptic number.

379223187721 is the 615811-st square number.

379223187721 is the 307906-th centered octagonal number.

It is an amenable number.

379223187721 is a deficient number, since it is larger than the sum of its proper divisors (61919004350).

379223187721 is an frugal number, since it uses more digits than its factorization.

379223187721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175960 (or 87980 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 52.

The spelling of 379223187721 in words is "three hundred seventy-nine billion, two hundred twenty-three million, one hundred eighty-seven thousand, seven hundred twenty-one".

Divisors: 1 7 49 87973 615811 4310677 7739248729 54174741103 379223187721