Search a number
-
+
19190545920 = 29365713113
BaseRepresentation
bin10001110111110110…
…000111111000000000
31211112102101202000000
4101313312013320000
5303300234432140
612452132000000
71246362643320
oct216766077000
954472352000
1019190545920
118158621207
123876a60000
131a6aa94820
14d009b9280
15774b77a30
hex477d87e00

19190545920 has 1120 divisors, whose sum is σ = 85658392512. Its totient is φ = 4013162496.

The previous prime is 19190545919. The next prime is 19190545921. The reversal of 19190545920 is 2954509191.

19190545920 is a `hidden beast` number, since 1 + 9 + 1 + 9 + 0 + 54 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (19190545919) and next prime (19190545921).

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19190545921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 169827784 + ... + 169827896.

Almost surely, 219190545920 is an apocalyptic number.

19190545920 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 19190545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42829196256).

19190545920 is an abundant number, since it is smaller than the sum of its proper divisors (66467846592).

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

19190545920 is an equidigital number, since it uses as much as digits as its factorization.

19190545920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 19190545920 in words is "nineteen billion, one hundred ninety million, five hundred forty-five thousand, nine hundred twenty".