Search a number
-
+
13696769100 = 223527217232383
BaseRepresentation
bin11001100000110010…
…00001110001001100
31022100112212221222110
430300121001301030
5211022333102400
610143041144020
7663263421300
oct146031016114
938315787873
1013696769100
115899518393
1227a302b010
1313a384c601
1493d101d00
155526d6e50
hex330641c4c

13696769100 has 432 divisors, whose sum is σ = 50954738688. Its totient is φ = 2817239040.

The previous prime is 13696769087. The next prime is 13696769101. The reversal of 13696769100 is 196769631.

It is a self number, because there is not a number n which added to its sum of digits gives 13696769100.

It is not an unprimeable number, because it can be changed into a prime (13696769101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5746509 + ... + 5748891.

It is an arithmetic number, because the mean of its divisors is an integer number (117950784).

Almost surely, 213696769100 is an apocalyptic number.

13696769100 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 13696769100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25477369344).

13696769100 is an abundant number, since it is smaller than the sum of its proper divisors (37257969588).

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

13696769100 is a wasteful number, since it uses less digits than its factorization.

13696769100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The spelling of 13696769100 in words is "thirteen billion, six hundred ninety-six million, seven hundred sixty-nine thousand, one hundred".