Search a number
-
+
12387474000 = 2432531162563
BaseRepresentation
bin10111000100101100…
…11101101001010000
31011222022012212202100
423202112131221100
5200332143132000
65405110320400
7615654535356
oct134226355120
934868185670
1012387474000
115287451620
122498659100
13122550b895
148572817d6
154c77aca00
hex2e259da50

12387474000 has 240 divisors, whose sum is σ = 47199282624. Its totient is φ = 3002976000.

The previous prime is 12387473993. The next prime is 12387474041. The reversal of 12387474000 is 47478321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166719 + ... + 229281.

Almost surely, 212387474000 is an apocalyptic number.

12387474000 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 12387474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23599641312).

12387474000 is an abundant number, since it is smaller than the sum of its proper divisors (34811808624).

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

12387474000 is a wasteful number, since it uses less digits than its factorization.

12387474000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62603 (or 62584 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 12387474000 in words is "twelve billion, three hundred eighty-seven million, four hundred seventy-four thousand".