Search a number
-
+
15791997312 = 2732713971553
BaseRepresentation
bin11101011010100011…
…01100000110000000
31111202120102120202100
432231101230012000
5224320222403222
611131005150400
71066224522330
oct165521540600
944676376670
1015791997312
116774197353
12308885b400
131648959510
14a9b4a90c0
1562660a4ac
hex3ad46c180

15791997312 has 384 divisors, whose sum is σ = 56542973760. Its totient is φ = 4119330816.

The previous prime is 15791997311. The next prime is 15791997329. The reversal of 15791997312 is 21379919751.

15791997312 is a `hidden beast` number, since 157 + 91 + 9 + 97 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15791997311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10167928 + ... + 10169480.

Almost surely, 215791997312 is an apocalyptic number.

15791997312 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 15791997312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28271486880).

15791997312 is an abundant number, since it is smaller than the sum of its proper divisors (40750976448).

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

15791997312 is a wasteful number, since it uses less digits than its factorization.

15791997312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1675 counting only the distinct ones).

The product of its digits is 1071630, while the sum is 54.

The spelling of 15791997312 in words is "fifteen billion, seven hundred ninety-one million, nine hundred ninety-seven thousand, three hundred twelve".