Search a number
-
+
12551477400 = 233252721117761
BaseRepresentation
bin10111011000010000…
…00101100010011000
31012101201211010010100
423230020011202120
5201201134234100
65433245415400
7623015540400
oct135410054230
935351733110
1012551477400
115360a88820
12252356a560
1312504a1607
14870d73800
154d6da6400
hex2ec205898

12551477400 has 864 divisors, whose sum is σ = 56712642480. Its totient is φ = 2451456000.

The previous prime is 12551477369. The next prime is 12551477429. The reversal of 12551477400 is 477415521.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 16493020 + ... + 16493780.

Almost surely, 212551477400 is an apocalyptic number.

12551477400 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 12551477400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28356321240).

12551477400 is an abundant number, since it is smaller than the sum of its proper divisors (44161165080).

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

12551477400 is a wasteful number, since it uses less digits than its factorization.

12551477400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 12551477400 in words is "twelve billion, five hundred fifty-one million, four hundred seventy-seven thousand, four hundred".