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12170545400 = 2352137364123
BaseRepresentation
bin10110101010110101…
…11100100011111000
31011102012000202122202
423111122330203320
5144411124423100
65331401005332
7610411633436
oct132532744370
934365022582
1012170545400
115185a56992
122437a83848
1311bc5a8170
14836533d56
154b370c7d5
hex2d56bc8f8

12170545400 has 96 divisors (see below), whose sum is σ = 30891095760. Its totient is φ = 4432112640.

The previous prime is 12170545393. The next prime is 12170545441. The reversal of 12170545400 is 454507121.

It is a super-2 number, since 2×121705454002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157739 + ... + 221861.

Almost surely, 212170545400 is an apocalyptic number.

12170545400 is a gapful number since it is divisible by the number (10) 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 12170545400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15445547880).

12170545400 is an abundant number, since it is smaller than the sum of its proper divisors (18720550360).

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

12170545400 is a wasteful number, since it uses less digits than its factorization.

12170545400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64225 (or 64216 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The spelling of 12170545400 in words is "twelve billion, one hundred seventy million, five hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 73 100 104 130 146 200 260 292 325 365 520 584 650 730 949 1300 1460 1825 1898 2600 2920 3650 3796 4745 7300 7592 9490 14600 18980 23725 37960 47450 64123 94900 128246 189800 256492 320615 512984 641230 833599 1282460 1603075 1667198 2564920 3206150 3334396 4167995 4680979 6412300 6668792 8335990 9361958 12824600 16671980 18723916 20839975 23404895 33343960 37447832 41679950 46809790 60852727 83359900 93619580 117024475 121705454 166719800 187239160 234048950 243410908 304263635 468097900 486821816 608527270 936195800 1217054540 1521318175 2434109080 3042636350 6085272700 12170545400