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20494581120 = 273651331109
BaseRepresentation
bin10011000101100100…
…100111110110000000
31221220022011121000000
4103011210213312000
5313433103043440
613225354000000
71323606031236
oct230544476600
957808147000
1020494581120
118767725152
123b7b716000
131c17cb33a0
14dc5c6a956
157ee3b3730
hex4c5927d80

20494581120 has 896 divisors, whose sum is σ = 82410451200. Its totient is φ = 4837294080.

The previous prime is 20494581119. The next prime is 20494581131. The reversal of 20494581120 is 2118549402.

20494581120 is a `hidden beast` number, since 2 + 0 + 494 + 58 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 188023626 + ... + 188023734.

It is an arithmetic number, because the mean of its divisors is an integer number (91975950).

Almost surely, 220494581120 is an apocalyptic number.

20494581120 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 20494581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41205225600).

20494581120 is an abundant number, since it is smaller than the sum of its proper divisors (61915870080).

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

20494581120 is a wasteful number, since it uses less digits than its factorization.

20494581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 20494581120 in words is "twenty billion, four hundred ninety-four million, five hundred eighty-one thousand, one hundred twenty".