Search a number
-
+
12378702336 = 293711138397
BaseRepresentation
bin10111000011101010…
…00000001000000000
31011221200201020021220
423201311000020000
5200322421433321
65404154315040
7615520143120
oct134165001000
934850636256
1012378702336
115282500310
122495728a80
13122375a150
1485603ac80
154c6b289c6
hex2e1d40200

12378702336 has 640 divisors, whose sum is σ = 45273102336. Its totient is φ = 2901934080.

The previous prime is 12378702307. The next prime is 12378702377. The reversal of 12378702336 is 63320787321.

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

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, 127615440 + ... + 127615536.

Almost surely, 212378702336 is an apocalyptic number.

12378702336 is a gapful number since it is divisible by the number (16) 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 12378702336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22636551168).

12378702336 is an abundant number, since it is smaller than the sum of its proper divisors (32894400000).

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

12378702336 is a wasteful number, since it uses less digits than its factorization.

12378702336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 12378702336 in words is "twelve billion, three hundred seventy-eight million, seven hundred two thousand, three hundred thirty-six".