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3620681856 = 27341153599
BaseRepresentation
bin1101011111001111…
…0011100010000000
3100100022221200210000
43113303303202000
524403343304411
61355135440000
7155503200531
oct32763634200
910308850700
103620681856
111598864960
12850686000
134591719cc
14264c14688
15162ce9956
hexd7cf3880

3620681856 has 320 divisors, whose sum is σ = 11996424000. Its totient is φ = 1074677760.

The previous prime is 3620681843. The next prime is 3620681861. The reversal of 3620681856 is 6581860263.

3620681856 is a `hidden beast` number, since 3 + 620 + 6 + 8 + 18 + 5 + 6 = 666.

3620681856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6044245 + ... + 6044843.

It is an arithmetic number, because the mean of its divisors is an integer number (37488825).

Almost surely, 23620681856 is an apocalyptic number.

3620681856 is a gapful number since it is divisible by the number (36) 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 3620681856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998212000).

3620681856 is an abundant number, since it is smaller than the sum of its proper divisors (8375742144).

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

3620681856 is a wasteful number, since it uses less digits than its factorization.

3620681856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3620681856 is about 60172.1019742538. The cubic root of 3620681856 is about 1535.5482069681.

The spelling of 3620681856 in words is "three billion, six hundred twenty million, six hundred eighty-one thousand, eight hundred fifty-six".