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12243504400 = 2452178317167
BaseRepresentation
bin10110110011100010…
…10000110100010000
31011121021022110120221
423121301100310100
5200033314120100
65342524442424
7612256033051
oct133161206420
934537273527
1012243504400
115213159086
1224583a9414
13120174177a
148420c6728
154b9d2001a
hex2d9c50d10

12243504400 has 60 divisors (see below), whose sum is σ = 29433231232. Its totient is φ = 4894369920.

The previous prime is 12243504379. The next prime is 12243504439. The reversal of 12243504400 is 440534221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 704617 + ... + 721783.

Almost surely, 212243504400 is an apocalyptic number.

12243504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12243504400 is an abundant number, since it is smaller than the sum of its proper divisors (17189726832).

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

12243504400 is a wasteful number, since it uses less digits than its factorization.

12243504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18968 (or 18957 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 12243504400 in words is "twelve billion, two hundred forty-three million, five hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1783 3566 7132 8915 14264 17167 17830 28528 34334 35660 44575 68668 71320 85835 89150 137336 142640 171670 178300 274672 343340 356600 429175 686680 713200 858350 1373360 1716700 3433400 6866800 30608761 61217522 122435044 153043805 244870088 306087610 489740176 612175220 765219025 1224350440 1530438050 2448700880 3060876100 6121752200 12243504400