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20249912256 = 2637314389127
BaseRepresentation
bin10010110110111111…
…010010001111000000
31221021020210010102020
4102312333102033000
5312432434143011
613145213521440
71314545262030
oct226677221700
957236703366
1020249912256
118651602882
123b117a3280
131ba93b9402
14da157b8c0
157d7b84006
hex4b6fd23c0

20249912256 has 448 divisors, whose sum is σ = 65918730240. Its totient is φ = 5364817920.

The previous prime is 20249912251. The next prime is 20249912261. The reversal of 20249912256 is 65221994202.

It is an interprime number because it is at equal distance from previous prime (20249912251) and next prime (20249912261).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20249912251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159448065 + ... + 159448191.

Almost surely, 220249912256 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 20249912256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32959365120).

20249912256 is an abundant number, since it is smaller than the sum of its proper divisors (45668817984).

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

20249912256 is a wasteful number, since it uses less digits than its factorization.

20249912256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 20249912256 in words is "twenty billion, two hundred forty-nine million, nine hundred twelve thousand, two hundred fifty-six".