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20940435900 = 22345222311593
BaseRepresentation
bin10011100000001001…
…011011000110111100
32000001101010100210000
4103200021123012330
5320341222422100
613341522114300
71340631524346
oct234011330674
960041110700
1020940435900
11897636a47a
124084aab990
131c8948b397
14102916a296
158285d3900
hex4e025b1bc

20940435900 has 180 divisors, whose sum is σ = 68190899392. Its totient is φ = 5558595840.

The previous prime is 20940435881. The next prime is 20940435941. The reversal of 20940435900 is 953404902.

20940435900 is a `hidden beast` number, since 20 + 9 + 4 + 0 + 43 + 590 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 59 ways as a sum of consecutive naturals, for example, 1800504 + ... + 1812096.

Almost surely, 220940435900 is an apocalyptic number.

20940435900 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 20940435900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34095449696).

20940435900 is an abundant number, since it is smaller than the sum of its proper divisors (47250463492).

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

20940435900 is a wasteful number, since it uses less digits than its factorization.

20940435900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11842 (or 11826 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 20940435900 in words is "twenty billion, nine hundred forty million, four hundred thirty-five thousand, nine hundred".