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20262713856 = 2937111971127
BaseRepresentation
bin10010110111110000…
…000111101000000000
31221022010212111220120
4102313300013220000
5312444223320411
613150352140240
71315062140340
oct226760075000
957263774816
1020262713856
118658856910
123b15b37680
131babc4c218
14da3150d20
157d8d62106
hex4b7c07a00

20262713856 has 640 divisors, whose sum is σ = 72406794240. Its totient is φ = 4877107200.

The previous prime is 20262713833. The next prime is 20262713869. The reversal of 20262713856 is 65831726202.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 159548865 + ... + 159548991.

It is an arithmetic number, because the mean of its divisors is an integer number (113135616).

Almost surely, 220262713856 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 20262713856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36203397120).

20262713856 is an abundant number, since it is smaller than the sum of its proper divisors (52144080384).

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

20262713856 is a wasteful number, since it uses less digits than its factorization.

20262713856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 20262713856 in words is "twenty billion, two hundred sixty-two million, seven hundred thirteen thousand, eight hundred fifty-six".