Search a number
-
+
15151132000000 = 285619199357
BaseRepresentation
bin1101110001111010010111…
…0101110011111100000000
31222122102201102212110012001
43130132211311303330000
53441214004243000000
652120200044513344
73122430114042313
oct334364565637400
958572642773161
1015151132000000
114911617030017
12184848354b854
1385b990175009
143a546673497a
151b41b07eb46a
hexdc7a5d73f00

15151132000000 has 252 divisors, whose sum is σ = 39793216421560. Its totient is φ = 5741452800000.

The previous prime is 15151131999989. The next prime is 15151132000001. The reversal of 15151132000000 is 23115151.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15151132000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75900322 + ... + 76099678.

Almost surely, 215151132000000 is an apocalyptic number.

15151132000000 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 15151132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19896608210780).

15151132000000 is an abundant number, since it is smaller than the sum of its proper divisors (24642084421560).

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

15151132000000 is an frugal number, since it uses more digits than its factorization.

15151132000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199422 (or 199383 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 15151132000000 its reverse (23115151), we get a palindrome (15151155115151).

The spelling of 15151132000000 in words is "fifteen trillion, one hundred fifty-one billion, one hundred thirty-two million", and thus it is an aban number.