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19004297040 = 243251931411093
BaseRepresentation
bin10001101100101111…
…101000111101010000
31211001102221022120100
4101230233220331100
5302410100001130
612421440012400
71241641600551
oct215457507520
954042838510
1019004297040
118072480713
123824601100
131a3b3135a1
14cc3d76328
15763637c60
hex46cbe8f50

19004297040 has 480 divisors, whose sum is σ = 71105448960. Its totient is φ = 4528742400.

The previous prime is 19004296951. The next prime is 19004297047. The reversal of 19004297040 is 4079240091.

19004297040 is a `hidden beast` number, since 190 + 0 + 429 + 7 + 0 + 40 = 666.

It is a super-2 number, since 2×190042970402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19004296986 and 19004297004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19004297047) 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, 17386734 + ... + 17387826.

It is an arithmetic number, because the mean of its divisors is an integer number (148136352).

Almost surely, 219004297040 is an apocalyptic number.

19004297040 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 19004297040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35552724480).

19004297040 is an abundant number, since it is smaller than the sum of its proper divisors (52101151920).

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

19004297040 is a wasteful number, since it uses less digits than its factorization.

19004297040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 19004297040 in words is "nineteen billion, four million, two hundred ninety-seven thousand, forty".