Search a number
-
+
19192114890 = 23451321947157
BaseRepresentation
bin10001110111111100…
…000110111011001010
31211112112100110020000
4101313330012323022
5303301140134030
612452225343430
71246412166504
oct216774067312
954475313200
1019192114890
1181594a2a83
123877497b76
131a6b1c3a00
14d00ca6d74
15774d87860
hex477f06eca

19192114890 has 480 divisors, whose sum is σ = 60455704320. Its totient is φ = 4352444928.

The previous prime is 19192114873. The next prime is 19192114919. The reversal of 19192114890 is 9841129191.

It is a happy number.

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 239 ways as a sum of consecutive naturals, for example, 122242692 + ... + 122242848.

It is an arithmetic number, because the mean of its divisors is an integer number (125949384).

Almost surely, 219192114890 is an apocalyptic number.

19192114890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19192114890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30227852160).

19192114890 is an abundant number, since it is smaller than the sum of its proper divisors (41263589430).

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

19192114890 is a wasteful number, since it uses less digits than its factorization.

19192114890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The spelling of 19192114890 in words is "nineteen billion, one hundred ninety-two million, one hundred fourteen thousand, eight hundred ninety".