Search a number
-
+
13378747500 = 2232543119181
BaseRepresentation
bin11000111010110111…
…10111110001101100
31021112101110210100200
430131123313301230
5204344424410000
610051320553500
7652352322516
oct143533676154
937471423320
1013378747500
115745a55018
122714622890
1313529b1a51
1490cb9abb6
15534818500
hex31d6f7c6c

13378747500 has 180 divisors, whose sum is σ = 43625085504. Its totient is φ = 3452400000.

The previous prime is 13378747483. The next prime is 13378747517. The reversal of 13378747500 is 574787331.

13378747500 is a `hidden beast` number, since 1 + 3 + 3 + 78 + 74 + 7 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (13378747483) and next prime (13378747517).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 687910 + ... + 707090.

Almost surely, 213378747500 is an apocalyptic number.

13378747500 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 13378747500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21812542752).

13378747500 is an abundant number, since it is smaller than the sum of its proper divisors (30246338004).

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

13378747500 is a wasteful number, since it uses less digits than its factorization.

13378747500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19242 (or 19222 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 13378747500 in words is "thirteen billion, three hundred seventy-eight million, seven hundred forty-seven thousand, five hundred".