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20459049937920 = 21032511172374277
BaseRepresentation
bin1001010011011011111100…
…11001110110110000000000
32200102212101100220112020100
410221231332121312300000
510140200113241003140
6111302431403242400
74211055221065206
oct451557631666000
980385340815210
1020459049937920
1165786a8361820
122365126519400
13b553845a8139
1450a31aa45076
152572c08b7530
hex129b7e676c00

20459049937920 has 528 divisors, whose sum is σ = 81883757767968. Its totient is φ = 4668016558080.

The previous prime is 20459049937913. The next prime is 20459049937993. The reversal of 20459049937920 is 2973994095402.

20459049937920 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 90 + 499 + 37 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7429822 + ... + 9804098.

Almost surely, 220459049937920 is an apocalyptic number.

20459049937920 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 20459049937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40941878883984).

20459049937920 is an abundant number, since it is smaller than the sum of its proper divisors (61424707830048).

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

20459049937920 is a wasteful number, since it uses less digits than its factorization.

20459049937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374336 (or 2374315 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 20459049937920 in words is "twenty trillion, four hundred fifty-nine billion, forty-nine million, nine hundred thirty-seven thousand, nine hundred twenty".