Search a number
-
+
12038826900 = 22352371084579
BaseRepresentation
bin10110011011001000…
…11110101110010100
31011002000011202211210
423031210132232110
5144123414430100
65310333501420
7604222224462
oct131544365624
934060152753
1012038826900
115118670921
1223bb941870
13119b20a419
14822c47832
154a6d8ec50
hex2cd91eb94

12038826900 has 72 divisors (see below), whose sum is σ = 35773786720. Its totient is φ = 3123584640.

The previous prime is 12038826893. The next prime is 12038826977. The reversal of 12038826900 is 962883021.

It is a happy number.

It is a super-2 number, since 2×120388269002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531190 + ... + 553389.

Almost surely, 212038826900 is an apocalyptic number.

12038826900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12038826900 is an abundant number, since it is smaller than the sum of its proper divisors (23734959820).

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

12038826900 is a wasteful number, since it uses less digits than its factorization.

12038826900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084633 (or 1084626 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 12038826900 in words is "twelve billion, thirty-eight million, eight hundred twenty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 1084579 2169158 3253737 4338316 5422895 6507474 10845790 13014948 16268685 21691580 27114475 32537370 40129423 54228950 65074740 80258846 81343425 108457900 120388269 160517692 162686850 200647115 240776538 325373700 401294230 481553076 601941345 802588460 1003235575 1203882690 2006471150 2407765380 3009706725 4012942300 6019413450 12038826900