Search a number
-
+
15649064928 = 2532755361
BaseRepresentation
bin11101001001100000…
…11100011111100000
31111101121110212101100
432210300130133200
5224022130034203
611104501434400
71062540600000
oct164460343740
944347425340
1015649064928
116700542112
123048a0ba00
131625163543
14a86500000
15618cc4ea3
hex3a4c1c7e0

15649064928 has 432 divisors, whose sum is σ = 53765371296. Its totient is φ = 4314885120.

The previous prime is 15649064923. The next prime is 15649065017. The reversal of 15649064928 is 82946094651.

15649064928 is a `hidden beast` number, since 1 + 5 + 6 + 490 + 64 + 92 + 8 = 666.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15649064923) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 256542018 + ... + 256542078.

It is an arithmetic number, because the mean of its divisors is an integer number (124456878).

Almost surely, 215649064928 is an apocalyptic number.

15649064928 is a gapful number since it is divisible by the number (18) 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 15649064928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26882685648).

15649064928 is an abundant number, since it is smaller than the sum of its proper divisors (38116306368).

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

15649064928 is an frugal number, since it uses more digits than its factorization.

15649064928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 15649064928 in words is "fifteen billion, six hundred forty-nine million, sixty-four thousand, nine hundred twenty-eight".