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2275842157056 = 293213374323879
BaseRepresentation
bin100001000111100010110…
…000110110101000000000
322001120100100112022012100
4201013202300312220000
5244241411043011211
64501301335430400
7323265330103416
oct41074260665000
98046310468170
102275842157056
117a81a7626126
123090a6b25400
131367c347cc50
147c2194292b6
153e2ee8bc156
hex211e2c36a00

2275842157056 has 480 divisors, whose sum is σ = 7433915448960. Its totient is φ = 665460375552.

The previous prime is 2275842157027. The next prime is 2275842157067. The reversal of 2275842157056 is 6507512485722.

It is a happy number.

2275842157056 is a `hidden beast` number, since 2 + 2 + 7 + 584 + 2 + 1 + 5 + 7 + 0 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2275842156993 and 2275842157011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95295325 + ... + 95319203.

It is an arithmetic number, because the mean of its divisors is an integer number (15487323852).

Almost surely, 22275842157056 is an apocalyptic number.

2275842157056 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 2275842157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716957724480).

2275842157056 is an abundant number, since it is smaller than the sum of its proper divisors (5158073291904).

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

2275842157056 is a wasteful number, since it uses less digits than its factorization.

2275842157056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23996 (or 23977 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 2275842157056 in words is "two trillion, two hundred seventy-five billion, eight hundred forty-two million, one hundred fifty-seven thousand, fifty-six".