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20457722880 = 210395729
BaseRepresentation
bin10011000011011000…
…000001010000000000
31221210201211000000000
4103003120001100000
5313344134113010
613222000000000
71322650526640
oct230330012000
957721730000
1020457722880
11874893aaa1
123b6b300000
131c1047988a
14dc0dd4520
157eb0327c0
hex4c3601400

20457722880 has 880 divisors, whose sum is σ = 87027304320. Its totient is φ = 4514807808.

The previous prime is 20457722869. The next prime is 20457722903. The reversal of 20457722880 is 8822775402.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 705438706 + ... + 705438734.

It is an arithmetic number, because the mean of its divisors is an integer number (98894664).

Almost surely, 220457722880 is an apocalyptic number.

20457722880 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 20457722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43513652160).

20457722880 is an abundant number, since it is smaller than the sum of its proper divisors (66569581440).

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

20457722880 is an frugal number, since it uses more digits than its factorization.

20457722880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 20457722880 in words is "twenty billion, four hundred fifty-seven million, seven hundred twenty-two thousand, eight hundred eighty".