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20977799040 = 2733511279127
BaseRepresentation
bin10011100010010111…
…111100111110000000
32000010222102121101000
4103202113330332000
5320430304032130
613345335012000
71341564230652
oct234227747600
960128377330
1020977799040
118995469a00
12409550a000
131c94140953
1410300d46d2
1582ba14260
hex4e25fcf80

20977799040 has 768 divisors, whose sum is σ = 83349504000. Its totient is φ = 4981616640.

The previous prime is 20977798999. The next prime is 20977799047. The reversal of 20977799040 is 4099777902.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20977799047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165179457 + ... + 165179583.

It is an arithmetic number, because the mean of its divisors is an integer number (108528000).

Almost surely, 220977799040 is an apocalyptic number.

20977799040 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 20977799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41674752000).

20977799040 is an abundant number, since it is smaller than the sum of its proper divisors (62371704960).

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

20977799040 is a wasteful number, since it uses less digits than its factorization.

20977799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 20977799040 in words is "twenty billion, nine hundred seventy-seven million, seven hundred ninety-nine thousand, forty".