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19770791040 = 2735571113127
BaseRepresentation
bin10010011010011011…
…100101010010000000
31220000212020020200000
4102122123211102000
5310442310303130
613025500400000
71266636644130
oct223233452200
956025206600
1019770791040
118426106a30
1239b9246000
131b31064730
14d57a9cac0
157aaa92260
hex49a6e5480

19770791040 has 1536 divisors, whose sum is σ = 95808061440. Its totient is φ = 3762339840.

The previous prime is 19770791023. The next prime is 19770791083. The reversal of 19770791040 is 4019707791.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155675457 + ... + 155675583.

It is an arithmetic number, because the mean of its divisors is an integer number (62375040).

Almost surely, 219770791040 is an apocalyptic number.

19770791040 is a gapful number since it is divisible by the number (10) 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 19770791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47904030720).

19770791040 is an abundant number, since it is smaller than the sum of its proper divisors (76037270400).

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

19770791040 is a wasteful number, since it uses less digits than its factorization.

19770791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 19770791040 in words is "nineteen billion, seven hundred seventy million, seven hundred ninety-one thousand, forty".