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2379679549640 = 23531137139179563
BaseRepresentation
bin100010101000001111111…
…101000100100011001000
322102111100221220101110022
4202220033331010203020
5302442040431042030
65021113143240012
7333632451266411
oct42501775044310
98374327811408
102379679549640
11838242082058
12325245a49008
13143530cb9893
1483269d92808
1541d7a95bde5
hex22a0ff448c8

2379679549640 has 256 divisors, whose sum is σ = 5648735232000. Its totient is φ = 901188311040.

The previous prime is 2379679549633. The next prime is 2379679549669. The reversal of 2379679549640 is 469459769732.

It is a Cunningham number, because it is equal to 15426212-1.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4226783999 + ... + 4226784561.

It is an arithmetic number, because the mean of its divisors is an integer number (22065372000).

Almost surely, 22379679549640 is an apocalyptic number.

2379679549640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2379679549640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824367616000).

2379679549640 is an abundant number, since it is smaller than the sum of its proper divisors (3269055682360).

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

2379679549640 is a wasteful number, since it uses less digits than its factorization.

2379679549640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 71.

The spelling of 2379679549640 in words is "two trillion, three hundred seventy-nine billion, six hundred seventy-nine million, five hundred forty-nine thousand, six hundred forty".