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20975041920 = 2735721131973
BaseRepresentation
bin10011100010001101…
…011011110110000000
32000010210020112022110
4103202031123312000
5320424102320140
613345155535320
71341531625500
oct234215336600
960123215273
1020975041920
118993956498
1240945ba540
131c936b6a11
14102d9b7a00
1582b66c380
hex4e235bd80

20975041920 has 384 divisors, whose sum is σ = 78501558240. Its totient is φ = 4749459456.

The previous prime is 20975041907. The next prime is 20975041931. The reversal of 20975041920 is 2914057902.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 10630054 + ... + 10632026.

Almost surely, 220975041920 is an apocalyptic number.

20975041920 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 20975041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39250779120).

20975041920 is an abundant number, since it is smaller than the sum of its proper divisors (57526516320).

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

20975041920 is a wasteful number, since it uses less digits than its factorization.

20975041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 20975041920 in words is "twenty billion, nine hundred seventy-five million, forty-one thousand, nine hundred twenty".