Search a number
-
+
12378474000 = 243353415591
BaseRepresentation
bin10111000011101000…
…01000011000010000
31011221200021122002000
423201310020120100
5200322342132000
65404145354000
7615515202324
oct134164103020
934850248060
1012378474000
115282364802
122495638900
1312236aa239
14855dbb984
154c6ad1000
hex2e1d08610

12378474000 has 320 divisors, whose sum is σ = 45432092160. Its totient is φ = 3219840000.

The previous prime is 12378473923. The next prime is 12378474037. The reversal of 12378474000 is 47487321.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2211205 + ... + 2216795.

It is an arithmetic number, because the mean of its divisors is an integer number (141975288).

Almost surely, 212378474000 is an apocalyptic number.

12378474000 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 12378474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22716046080).

12378474000 is an abundant number, since it is smaller than the sum of its proper divisors (33053618160).

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

12378474000 is a wasteful number, since it uses less digits than its factorization.

12378474000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664 (or 5642 counting only the distinct ones).

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

The spelling of 12378474000 in words is "twelve billion, three hundred seventy-eight million, four hundred seventy-four thousand".