Search a number
-
+
19753194048 = 2637193124953
BaseRepresentation
bin10010011001011000…
…011101001001000000
31212222122010020010120
4102121120131021000
5310423304202143
613024031300240
71266334244010
oct223130351100
955878106116
1019753194048
118417188065
1239b337a680
131b2a513003
14d555dbc40
157a9268383
hex49961d240

19753194048 has 224 divisors, whose sum is σ = 64904355840. Its totient is φ = 5174046720.

The previous prime is 19753194037. The next prime is 19753194091. The reversal of 19753194048 is 84049135791.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779140 + ... + 804092.

Almost surely, 219753194048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19753194048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32452177920).

19753194048 is an abundant number, since it is smaller than the sum of its proper divisors (45151161792).

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

19753194048 is a wasteful number, since it uses less digits than its factorization.

19753194048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25025 (or 25015 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 19753194048 in words is "nineteen billion, seven hundred fifty-three million, one hundred ninety-four thousand, forty-eight".