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19722673152 = 21035713267
BaseRepresentation
bin10010010111100100…
…000001110000000000
31212220111200121100000
4102113210001300000
5310343001020102
613021021200000
71265513645550
oct222744016000
955814617300
1019722673152
118400a31286
1239a5100000
131b240b7c00
14d51535160
157a673a01c
hex497901c00

19722673152 has 792 divisors, whose sum is σ = 74176991616. Its totient is φ = 5123948544.

The previous prime is 19722673147. The next prime is 19722673163. The reversal of 19722673152 is 25137622791.

It is a happy number.

19722673152 is a `hidden beast` number, since 1 + 9 + 72 + 267 + 315 + 2 = 666.

Its product of digits (317520) is a multiple of the sum of its prime factors (135).

It is a junction number, because it is equal to n+sod(n) for n = 19722673098 and 19722673107.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 294368223 + ... + 294368289.

Almost surely, 219722673152 is an apocalyptic number.

19722673152 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 19722673152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37088495808).

19722673152 is an abundant number, since it is smaller than the sum of its proper divisors (54454318464).

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

19722673152 is an equidigital number, since it uses as much as digits as its factorization.

19722673152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 92 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 19722673152 in words is "nineteen billion, seven hundred twenty-two million, six hundred seventy-three thousand, one hundred fifty-two".