Search a number
-
+
15628228992 = 273319292283
BaseRepresentation
bin11101000111000001…
…11101100110000000
31111100011021021212000
432203200331212000
5224001311311432
611102435104000
71062165516555
oct164340754600
944304237760
1015628228992
11669a800832
123041a42000
131620a4979c
14a83838a2c
1561705b57c
hex3a383d980

15628228992 has 384 divisors, whose sum is σ = 50462256000. Its totient is φ = 4748212224.

The previous prime is 15628228981. The next prime is 15628228999. The reversal of 15628228992 is 29982282651.

It is a happy number.

15628228992 is a `hidden beast` number, since 1 + 5 + 628 + 2 + 2 + 8 + 9 + 9 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15628228999) 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, 55223283 + ... + 55223565.

It is an arithmetic number, because the mean of its divisors is an integer number (131412125).

Almost surely, 215628228992 is an apocalyptic number.

15628228992 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 15628228992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25231128000).

15628228992 is an abundant number, since it is smaller than the sum of its proper divisors (34834027008).

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

15628228992 is a wasteful number, since it uses less digits than its factorization.

15628228992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 336 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 15628228992 in words is "fifteen billion, six hundred twenty-eight million, two hundred twenty-eight thousand, nine hundred ninety-two".