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20923740504 = 233623389401
BaseRepresentation
bin10011011111001001…
…101111000101011000
32000000012201011000000
4103133021233011120
5320322434144004
613340124213000
71340336600622
oct233711570530
960005634000
1020923740504
1189679a6a27
12407b39a160
131c85b94154
141026c61c12
15826dd6c39
hex4df26f158

20923740504 has 224 divisors, whose sum is σ = 61689794400. Its totient is φ = 6637593600.

The previous prime is 20923740503. The next prime is 20923740529. The reversal of 20923740504 is 40504732902.

20923740504 is a `hidden beast` number, since 20 + 92 + 3 + 7 + 40 + 504 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20923740503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 52178704 + ... + 52179104.

Almost surely, 220923740504 is an apocalyptic number.

20923740504 is a gapful number since it is divisible by the number (24) 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 20923740504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30844897200).

20923740504 is an abundant number, since it is smaller than the sum of its proper divisors (40766053896).

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

20923740504 is a wasteful number, since it uses less digits than its factorization.

20923740504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 818 counting only the distinct ones).

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

The spelling of 20923740504 in words is "twenty billion, nine hundred twenty-three million, seven hundred forty thousand, five hundred four".