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19949757696 = 2832114173263
BaseRepresentation
bin10010100101000110…
…010010010100000000
31220111022222200202200
4102211012102110000
5311324114221241
613055332313200
71304242066611
oct224506222400
956438880680
1019949757696
118508133260
123a49172800
131b5c16616b
14d73767c08
157bb6444b6
hex4a5192500

19949757696 has 432 divisors, whose sum is σ = 65407934592. Its totient is φ = 5795020800.

The previous prime is 19949757683. The next prime is 19949757697. The reversal of 19949757696 is 69675794991.

It is a happy number.

19949757696 is a `hidden beast` number, since 1 + 9 + 9 + 49 + 7 + 576 + 9 + 6 = 666.

It is a super-2 number, since 2×199497576962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19949757697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75854461 + ... + 75854723.

It is an arithmetic number, because the mean of its divisors is an integer number (151407256).

Almost surely, 219949757696 is an apocalyptic number.

19949757696 is a gapful number since it is divisible by the number (16) 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 19949757696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32703967296).

19949757696 is an abundant number, since it is smaller than the sum of its proper divisors (45458176896).

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

19949757696 is a wasteful number, since it uses less digits than its factorization.

19949757696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 393 counting only the distinct ones).

The product of its digits is 231472080, while the sum is 72.

The spelling of 19949757696 in words is "nineteen billion, nine hundred forty-nine million, seven hundred fifty-seven thousand, six hundred ninety-six".