Search a number
-
+
15015000000000 = 29351071113
BaseRepresentation
bin1101101001111111001110…
…1111011100011000000000
31222011102100011111022221010
43122133303233130120000
53432001210000000000
651533443515400520
73106540461116040
oct332376357343000
958142304438833
1015015000000000
11486990a0725a0
121826011153140
1384bba6a68820
1439ca30ad9720
151b0894478d50
hexda7f3bdc600

15015000000000 has 1760 divisors, whose sum is σ = 67134373625088. Its totient is φ = 2880000000000.

The previous prime is 15014999999999. The next prime is 15015000000067. The reversal of 15015000000000 is 51051.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 32500 × 16500 × 28000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 1154999999994 + ... + 1155000000006.

Almost surely, 215015000000000 is an apocalyptic number.

15015000000000 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 15015000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33567186812544).

15015000000000 is an abundant number, since it is smaller than the sum of its proper divisors (52119373625088).

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

15015000000000 is an frugal number, since it uses more digits than its factorization.

15015000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

Adding to 15015000000000 its reverse (51051), we get a palindrome (15015000051051).

It can be divided in two parts, 150 and 15000000000, that multiplied together give a square (2250000000000 = 15000002).

The spelling of 15015000000000 in words is "fifteen trillion, fifteen billion", and thus it is an aban number and an uban number.