Search a number
-
+
12238455104 = 261910339743
BaseRepresentation
bin10110110010111100…
…00000000101000000
31011120220210221020222
423121132000011000
5200031021030404
65342224322212
7612165103061
oct133136000500
934526727228
1012238455104
11521031a507
122456773368
131200694415
14841570568
154b9673dbe
hex2d9780140

12238455104 has 56 divisors (see below), whose sum is σ = 25591251840. Its totient is φ = 5790956544.

The previous prime is 12238455083. The next prime is 12238455113. The reversal of 12238455104 is 40155483221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1251257 + ... + 1260999.

It is an arithmetic number, because the mean of its divisors is an integer number (456986640).

Almost surely, 212238455104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12238455104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12795625920).

12238455104 is an abundant number, since it is smaller than the sum of its proper divisors (13352796736).

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

12238455104 is a wasteful number, since it uses less digits than its factorization.

12238455104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10807 (or 10797 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 12238455104 in words is "twelve billion, two hundred thirty-eight million, four hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1033 1216 2066 4132 8264 9743 16528 19486 19627 33056 38972 39254 66112 77944 78508 155888 157016 185117 311776 314032 370234 623552 628064 740468 1256128 1480936 2961872 5923744 10064519 11847488 20129038 40258076 80516152 161032304 191225861 322064608 382451722 644129216 764903444 1529806888 3059613776 6119227552 12238455104