Search a number
-
+
13628196600 = 23352157199727
BaseRepresentation
bin11001011000100110…
…11100011011111000
31022011202212010012020
430230103130123320
5210402304242400
610132151314440
7661501521414
oct145423343370
938152763166
1013628196600
1158638418a7
12278407ba20
131392590775
14933d71d44
1554b68e2a0
hex32c4dc6f8

13628196600 has 192 divisors, whose sum is σ = 42788928000. Its totient is φ = 3587950080.

The previous prime is 13628196581. The next prime is 13628196613. The reversal of 13628196600 is 669182631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18745437 + ... + 18746163.

It is an arithmetic number, because the mean of its divisors is an integer number (222859000).

Almost surely, 213628196600 is an apocalyptic number.

13628196600 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 13628196600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21394464000).

13628196600 is an abundant number, since it is smaller than the sum of its proper divisors (29160731400).

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

13628196600 is a wasteful number, since it uses less digits than its factorization.

13628196600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 13628196600 in words is "thirteen billion, six hundred twenty-eight million, one hundred ninety-six thousand, six hundred".