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15664112640 = 2103351110301
BaseRepresentation
bin11101001011010011…
…10110010000000000
31111102122210100222000
432211221312100000
5224040003101030
611110200144000
71063112521611
oct164551662000
944378710860
1015664112640
116708a8a740
123051a68000
131628301807
14a884d9c08
1561a298860
hex3a5a76400

15664112640 has 352 divisors, whose sum is σ = 60733998720. Its totient is φ = 3796992000.

The previous prime is 15664112621. The next prime is 15664112657. The reversal of 15664112640 is 4621146651.

15664112640 is a `hidden beast` number, since 1 + 5 + 6 + 6 + 4 + 1 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15664112595 and 15664112604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1515490 + ... + 1525790.

Almost surely, 215664112640 is an apocalyptic number.

15664112640 is a gapful number since it is divisible by the number (10) 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 15664112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30366999360).

15664112640 is an abundant number, since it is smaller than the sum of its proper divisors (45069886080).

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

15664112640 is a wasteful number, since it uses less digits than its factorization.

15664112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10346 (or 10322 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 15664112640 in words is "fifteen billion, six hundred sixty-four million, one hundred twelve thousand, six hundred forty".