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2371080968256 = 26371113100912227
BaseRepresentation
bin100010100000001111011…
…100000101100001000000
322101200011201011012021010
4202200033130011201000
5302321433211441011
65013132022000520
7333206411456130
oct42401734054100
98350151135233
102371080968256
1183462a435650
12323646276140
131427907567c0
1482a91dd0ac0
1541a25b241a6
hex2280f705840

2371080968256 has 448 divisors, whose sum is σ = 8432178370560. Its totient is φ = 567881072640.

The previous prime is 2371080968183. The next prime is 2371080968273. The reversal of 2371080968256 is 6528690801732.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 2371080968196 and 2371080968205.

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, 193915615 + ... + 193927841.

It is an arithmetic number, because the mean of its divisors is an integer number (18821826720).

Almost surely, 22371080968256 is an apocalyptic number.

2371080968256 is a gapful number since it is divisible by the number (26) 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 2371080968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216089185280).

2371080968256 is an abundant number, since it is smaller than the sum of its proper divisors (6061097402304).

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

2371080968256 is a wasteful number, since it uses less digits than its factorization.

2371080968256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13282 (or 13272 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 2371080968256 in words is "two trillion, three hundred seventy-one billion, eighty million, nine hundred sixty-eight thousand, two hundred fifty-six".