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19634144040 = 2334577189137
BaseRepresentation
bin10010010010010010…
…010100001100101000
31212200100002212020000
4102102102110030220
5310202320102130
613004135503000
71263360320310
oct222222241450
955610085200
1019634144040
118365a65025
12397b527a60
131b0b95c614
14d4388c440
1579da9e260
hex492494328

19634144040 has 640 divisors, whose sum is σ = 77906188800. Its totient is φ = 4342947840.

The previous prime is 19634144039. The next prime is 19634144041. The reversal of 19634144040 is 4044143691.

It is a happy number.

19634144040 is a `hidden beast` number, since 1 + 9 + 634 + 14 + 4 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (19634144039) and next prime (19634144041).

It is a super-2 number, since 2×196341440402 (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 = 19634143986 and 19634144004.

It is not an unprimeable number, because it can be changed into a prime (19634144041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 143314852 + ... + 143314988.

It is an arithmetic number, because the mean of its divisors is an integer number (121728420).

Almost surely, 219634144040 is an apocalyptic number.

19634144040 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 19634144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38953094400).

19634144040 is an abundant number, since it is smaller than the sum of its proper divisors (58272044760).

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

19634144040 is a wasteful number, since it uses less digits than its factorization.

19634144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 19634144040 in words is "nineteen billion, six hundred thirty-four million, one hundred forty-four thousand, forty".