Search a number
-
+
12469745400 = 23352721972153
BaseRepresentation
bin10111001110100000…
…10011011011111000
31012012001000200220020
423213100103123320
5201014223323100
65421205530440
7621004041600
oct134720233370
935161020806
1012469745400
115319934312
122500113a20
131239585a98
14864179c00
154ceb0e5a0
hex2e74136f8

12469745400 has 288 divisors, whose sum is σ = 45216681840. Its totient is φ = 2834442240.

The previous prime is 12469745399. The next prime is 12469745419. The reversal of 12469745400 is 454796421.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5790724 + ... + 5792876.

Almost surely, 212469745400 is an apocalyptic number.

12469745400 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 12469745400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22608340920).

12469745400 is an abundant number, since it is smaller than the sum of its proper divisors (32746936440).

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

12469745400 is a wasteful number, since it uses less digits than its factorization.

12469745400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 12469745400 in words is "twelve billion, four hundred sixty-nine million, seven hundred forty-five thousand, four hundred".