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19291092920 = 235112193167101
BaseRepresentation
bin10001111101110101…
…101011011110111000
31211210102121001112222
4101331311223132320
5304002004433140
612510123023212
71252023404261
oct217565533670
954712531488
1019291092920
1181aa356700
1238a466ab08
131a8586a2a8
14d100ad968
1577d8d95b5
hex47dd6b7b8

19291092920 has 384 divisors, whose sum is σ = 53135308800. Its totient is φ = 6272640000.

The previous prime is 19291092913. The next prime is 19291092923. The reversal of 19291092920 is 2929019291.

It is a happy number.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19291092923) 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, 191000870 + ... + 191000970.

It is an arithmetic number, because the mean of its divisors is an integer number (138373200).

Almost surely, 219291092920 is an apocalyptic number.

19291092920 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 19291092920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26567654400).

19291092920 is an abundant number, since it is smaller than the sum of its proper divisors (33844215880).

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

19291092920 is a wasteful number, since it uses less digits than its factorization.

19291092920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 44.

The spelling of 19291092920 in words is "nineteen billion, two hundred ninety-one million, ninety-two thousand, nine hundred twenty".