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12396243888900 = 2232521173612
BaseRepresentation
bin1011010001100011100110…
…1101101010101100000100
31121220001212112212021000100
42310120321231222230010
53111100001413421100
642210431131444100
72416412323340214
oct264307155525404
947801775767010
1012396243888900
113a4a243562353
121482584bb6630
136bbc64abc481
1430bda4d96244
151676c4bbc400
hexb4639b6ab04

12396243888900 has 81 divisors (see below), whose sum is σ = 38855668867743. Its totient is φ = 3305636870400.

The previous prime is 12396243888859. The next prime is 12396243888907. The reversal of 12396243888900 is 988834269321.

The square root of 12396243888900 is 3520830.

It is a perfect power (a square), and thus also a powerful number.

12396243888900 is a `hidden beast` number, since 1 + 2 + 39 + 6 + 2 + 438 + 88 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1097126363844 + 11299117525056 = 1047438^2 + 3361416^2 .

It is not an unprimeable number, because it can be changed into a prime (12396243888907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 105566220 + ... + 105683580.

Almost surely, 212396243888900 is an apocalyptic number.

12396243888900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12396243888900 is the 3520830-th square number.

It is an amenable number.

12396243888900 is an abundant number, since it is smaller than the sum of its proper divisors (26459424978843).

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

12396243888900 is an frugal number, since it uses more digits than its factorization.

12396243888900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234742 (or 117371 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 12396243888900 in words is "twelve trillion, three hundred ninety-six billion, two hundred forty-three million, eight hundred eighty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 117361 234722 352083 469444 586805 704166 1056249 1173610 1408332 1760415 2112498 2347220 2934025 3520830 4224996 5281245 5868050 7041660 8802075 10562490 11736100 17604150 21124980 26406225 35208300 52812450 105624900 13773604321 27547208642 41320812963 55094417284 68868021605 82641625926 123962438889 137736043210 165283251852 206604064815 247924877778 275472086420 344340108025 413208129630 495849755556 619812194445 688680216050 826416259260 1033020324075 1239624388890 1377360432100 2066040648150 2479248777780 3099060972225 4132081296300 6198121944450 12396243888900