Search a number
-
+
15728288992 = 251337808387
BaseRepresentation
bin11101010010111101…
…01010010011100000
31111121010112212100221
432221132222103200
5224202420221432
611120411452424
71064522151643
oct165136522340
944533485327
1015728288992
116741233349
12306b457114
1316386b16a0
14a92c43a5a
15620c23b97
hex3a97aa4e0

15728288992 has 24 divisors (see below), whose sum is σ = 33346998216. Its totient is φ = 7259210112.

The previous prime is 15728288951. The next prime is 15728288999. The reversal of 15728288992 is 29988282751.

15728288992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 15728288992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15728288999) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 18903778 + ... + 18904609.

It is an arithmetic number, because the mean of its divisors is an integer number (1389458259).

Almost surely, 215728288992 is an apocalyptic number.

It is an amenable number.

15728288992 is an abundant number, since it is smaller than the sum of its proper divisors (17618709224).

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

15728288992 is a wasteful number, since it uses less digits than its factorization.

15728288992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37808410 (or 37808402 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 61.

The spelling of 15728288992 in words is "fifteen billion, seven hundred twenty-eight million, two hundred eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 37808387 75616774 151233548 302467096 491509031 604934192 983018062 1209868384 1966036124 3932072248 7864144496 15728288992