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20537044920 = 233257311511741
BaseRepresentation
bin10011001000000110…
…100110111110111000
31222000021001222101100
4103020012212332320
5314024440414140
613233512051400
71324633000350
oct231006467670
958007058340
1020537044920
1187896988a7
123b91993b60
131c23a304b2
14dcb761b60
15802ea0530
hex4c81a6fb8

20537044920 has 384 divisors, whose sum is σ = 79308103680. Its totient is φ = 4510080000.

The previous prime is 20537044901. The next prime is 20537044933. The reversal of 20537044920 is 2944073502.

20537044920 is a `hidden beast` number, since 205 + 3 + 7 + 0 + 449 + 2 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11795250 + ... + 11796990.

It is an arithmetic number, because the mean of its divisors is an integer number (206531520).

Almost surely, 220537044920 is an apocalyptic number.

20537044920 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 20537044920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39654051840).

20537044920 is an abundant number, since it is smaller than the sum of its proper divisors (58771058760).

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

20537044920 is a wasteful number, since it uses less digits than its factorization.

20537044920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 20537044920 in words is "twenty billion, five hundred thirty-seven million, forty-four thousand, nine hundred twenty".