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20912338944 = 2113772329
BaseRepresentation
bin10011011110011110…
…001111100000000000
31222222102020220000000
4103132132033200000
5320312024321234
613335040000000
71340140643130
oct233636174000
958872226000
1020912338944
118961519852
124077600000
131c83701673
141025534ac0
15825dd3899
hex4de78f800

20912338944 has 768 divisors, whose sum is σ = 77366016000. Its totient is φ = 5518098432.

The previous prime is 20912338943. The next prime is 20912338991. The reversal of 20912338944 is 44983321902.

20912338944 is a `hidden beast` number, since 209 + 1 + 23 + 389 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 20912338944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20912338943) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 721115122 + ... + 721115150.

It is an arithmetic number, because the mean of its divisors is an integer number (100737000).

Almost surely, 220912338944 is an apocalyptic number.

20912338944 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 20912338944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38683008000).

20912338944 is an abundant number, since it is smaller than the sum of its proper divisors (56453677056).

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

20912338944 is an frugal number, since it uses more digits than its factorization.

20912338944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 20912338944 in words is "twenty billion, nine hundred twelve million, three hundred thirty-eight thousand, nine hundred forty-four".