Search a number
-
+
12554542000 = 2453711136271
BaseRepresentation
bin10111011000100111…
…10001101110110000
31012101221120210222001
423230103301232300
5201202430321000
65433435223344
7623053563160
oct135423615660
935357523861
1012554542000
115362791250
1225245a7b54
1312510054a0
148715305a0
154d72ae46a
hex2ec4f1bb0

12554542000 has 320 divisors, whose sum is σ = 40765390848. Its totient is φ = 3611520000.

The previous prime is 12554541997. The next prime is 12554542001. The reversal of 12554542000 is 24545521.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12554542000.

It is not an unprimeable number, because it can be changed into a prime (12554542001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1998865 + ... + 2005135.

Almost surely, 212554542000 is an apocalyptic number.

12554542000 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 12554542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20382695424).

12554542000 is an abundant number, since it is smaller than the sum of its proper divisors (28210848848).

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

12554542000 is a wasteful number, since it uses less digits than its factorization.

12554542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6325 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The spelling of 12554542000 in words is "twelve billion, five hundred fifty-four million, five hundred forty-two thousand".