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20339890560 = 273451153673
BaseRepresentation
bin10010111100010110…
…100001100110000000
31221111112002111110000
4102330112201212000
5313124002444220
613202150240000
71320020134323
oct227426414600
957445074400
1020339890560
118698379910
123b37956000
131bc1c31502
14dad4c07ba
157e0a09390
hex4bc5a1980

20339890560 has 640 divisors, whose sum is σ = 80855897760. Its totient is φ = 4830658560.

The previous prime is 20339890559. The next prime is 20339890561. The reversal of 20339890560 is 6509893302.

20339890560 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 9 + 89 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (20339890559) and next prime (20339890561).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×203398905602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20339890561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30222384 + ... + 30223056.

Almost surely, 220339890560 is an apocalyptic number.

20339890560 is a gapful number since it is divisible by the number (20) 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 20339890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40427948880).

20339890560 is an abundant number, since it is smaller than the sum of its proper divisors (60516007200).

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

20339890560 is a wasteful number, since it uses less digits than its factorization.

20339890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 20339890560 in words is "twenty billion, three hundred thirty-nine million, eight hundred ninety thousand, five hundred sixty".