Search a number
-
+
15916428000 = 2532531140193
BaseRepresentation
bin11101101001011000…
…10110101011100000
31112002020120022120100
432310230112223200
5230044101144000
611151212142400
71102265256114
oct166454265340
945066508510
1015916428000
116828454a30
123102467a00
131668675045
14aadc19744
156324d8a00
hex3b4b16ae0

15916428000 has 288 divisors, whose sum is σ = 61624154592. Its totient is φ = 3858432000.

The previous prime is 15916427983. The next prime is 15916428023. The reversal of 15916428000 is 82461951.

15916428000 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 642 + 8 + 0 + 0 + 0 = 666.

15916428000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375904 + ... + 416096.

It is an arithmetic number, because the mean of its divisors is an integer number (213972759).

Almost surely, 215916428000 is an apocalyptic number.

15916428000 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 15916428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30812077296).

15916428000 is an abundant number, since it is smaller than the sum of its proper divisors (45707726592).

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

15916428000 is a wasteful number, since it uses less digits than its factorization.

15916428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40235 (or 40214 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 15916428000 its reverse (82461951), we get a palindrome (15998889951).

The spelling of 15916428000 in words is "fifteen billion, nine hundred sixteen million, four hundred twenty-eight thousand".