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2379679549641 = 32211224372
BaseRepresentation
bin100010101000001111111…
…101000100100011001001
322102111100221220101110100
4202220033331010203021
5302442040431042031
65021113143240013
7333632451266412
oct42501775044311
98374327811410
102379679549641
11838242082059
12325245a49009
13143530cb9894
1483269d92809
1541d7a95bde6
hex22a0ff448c9

2379679549641 has 27 divisors (see below), whose sum is σ = 3455100471303. Its totient is φ = 1578286397520.

The previous prime is 2379679549633. The next prime is 2379679549669. The reversal of 2379679549641 is 1469459769732.

The square root of 2379679549641 is 1542621.

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

2379679549641 is a `hidden beast` number, since 2 + 3 + 7 + 9 + 6 + 7 + 95 + 496 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2241143732025 + 138535817616 = 1497045^2 + 372204^2 .

It is not a de Polignac number, because 2379679549641 - 23 = 2379679549633 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2379679549641.

It is not an unprimeable number, because it can be changed into a prime (2379679549141) 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 26 ways as a sum of consecutive naturals, for example, 976477875 + ... + 976480311.

Almost surely, 22379679549641 is an apocalyptic number.

2379679549641 is the 1542621-st square number.

2379679549641 is the 771311-st centered octagonal number.

It is an amenable number.

2379679549641 is a deficient number, since it is larger than the sum of its proper divisors (1075420921662).

2379679549641 is an frugal number, since it uses more digits than its factorization.

2379679549641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5302 (or 2651 counting only the distinct ones).

The product of its digits is 617258880, while the sum is 72.

The spelling of 2379679549641 in words is "two trillion, three hundred seventy-nine billion, six hundred seventy-nine million, five hundred forty-nine thousand, six hundred forty-one".

Divisors: 1 3 9 211 633 1899 2437 7311 21933 44521 133563 400689 514207 1542621 4627863 5938969 17816907 53450721 108497677 325493031 976479093 1253122459 3759367377 11278102131 264408838849 793226516547 2379679549641