Search a number
-
+
19460001792 = 2123711131157
BaseRepresentation
bin10010000111111010…
…000001000000000000
31212020012102111222010
4102013322001000000
5304323230024132
612534555212520
71256144200050
oct220772010000
955205374863
1019460001792
118286733410
123931147140
131ab1859a7a
14d286bb560
1578d6516cc
hex487e81000

19460001792 has 416 divisors, whose sum is σ = 65599294464. Its totient is φ = 4984012800.

The previous prime is 19460001773. The next prime is 19460001797. The reversal of 19460001792 is 29710006491.

It is a super-2 number, since 2×194600017922 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 19460001792.

It is not an unprimeable number, because it can be changed into a prime (19460001797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123948978 + ... + 123949134.

Almost surely, 219460001792 is an apocalyptic number.

19460001792 is a gapful number since it is divisible by the number (12) 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 19460001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32799647232).

19460001792 is an abundant number, since it is smaller than the sum of its proper divisors (46139292672).

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

19460001792 is a wasteful number, since it uses less digits than its factorization.

19460001792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 19460001792 in words is "nineteen billion, four hundred sixty million, one thousand, seven hundred ninety-two".