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20406778392 = 233711132192181
BaseRepresentation
bin10011000000010101…
…101011101000011000
31221200011221202022010
4103000111223220120
5313243113402032
613212540025520
71321461516510
oct230025535030
957604852263
1020406778392
118722104710
123b562322a0
131c02a50600
14db8332840
157e681cccc
hex4c056ba18

20406778392 has 576 divisors, whose sum is σ = 73092015360. Its totient is φ = 4609612800.

The previous prime is 20406778361. The next prime is 20406778397. The reversal of 20406778392 is 29387760402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20406778397) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112744542 + ... + 112744722.

It is an arithmetic number, because the mean of its divisors is an integer number (126895860).

Almost surely, 220406778392 is an apocalyptic number.

20406778392 is a gapful number since it is divisible by the number (22) 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 20406778392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36546007680).

20406778392 is an abundant number, since it is smaller than the sum of its proper divisors (52685236968).

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

20406778392 is a wasteful number, since it uses less digits than its factorization.

20406778392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 20406778392 in words is "twenty billion, four hundred six million, seven hundred seventy-eight thousand, three hundred ninety-two".