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2902053872256 = 273711101971767
BaseRepresentation
bin101010001110101111111…
…000111110001010000000
3101021102201010100110021020
4222032233320332022000
5340021401242403011
610101103554025440
7416444412623250
oct52165770761200
911242633313236
102902053872256
11a19832833270
123aa52bb78280
1318087c6aa5b6
14a0662955960
15507509ae006
hex2a3afe3e280

2902053872256 has 256 divisors, whose sum is σ = 9705863301120. Its totient is φ = 746316288000.

The previous prime is 2902053872189. The next prime is 2902053872261. The reversal of 2902053872256 is 6522783502092.

2902053872256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2902053872199 and 2902053872208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2500485 + ... + 3472251.

It is an arithmetic number, because the mean of its divisors is an integer number (37913528520).

Almost surely, 22902053872256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2902053872256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852931650560).

2902053872256 is an abundant number, since it is smaller than the sum of its proper divisors (6803809428864).

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

2902053872256 is a wasteful number, since it uses less digits than its factorization.

2902053872256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971903 (or 971891 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 2902053872256 in words is "two trillion, nine hundred two billion, fifty-three million, eight hundred seventy-two thousand, two hundred fifty-six".