Search a number
-
+
14386553760 = 2535191997927
BaseRepresentation
bin11010110011000000…
…10110001110100000
31101010121211122122110
431121200112032200
5213430424210020
610335321435320
71016340455265
oct153140261640
941117748573
1014386553760
11611291a857
12295603bb40
131483723107
149a697b26c
1559303c8e0
hex3598163a0

14386553760 has 192 divisors, whose sum is σ = 47948544000. Its totient is φ = 3615777792.

The previous prime is 14386553683. The next prime is 14386553801. The reversal of 14386553760 is 6735568341.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1810917 + ... + 1818843.

It is an arithmetic number, because the mean of its divisors is an integer number (249732000).

Almost surely, 214386553760 is an apocalyptic number.

14386553760 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 14386553760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23974272000).

14386553760 is an abundant number, since it is smaller than the sum of its proper divisors (33561990240).

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

14386553760 is a wasteful number, since it uses less digits than its factorization.

14386553760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8163 (or 8155 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 14386553760 in words is "fourteen billion, three hundred eighty-six million, five hundred fifty-three thousand, seven hundred sixty".