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12379267900 = 2252592398779
BaseRepresentation
bin10111000011101110…
…01010001100111100
31011221201202222002201
423201313022030330
5200323043033100
65404214401244
7615525020026
oct134167121474
934851688081
1012379267900
11528285721a
122495960224
1312238c76bc
14856147016
154c6bdb36a
hex2e1dca33c

12379267900 has 72 divisors (see below), whose sum is σ = 27435744000. Its totient is φ = 4846860480.

The previous prime is 12379267891. The next prime is 12379267907. The reversal of 12379267900 is 976297321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12379267907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1405711 + ... + 1414489.

It is an arithmetic number, because the mean of its divisors is an integer number (381052000).

Almost surely, 212379267900 is an apocalyptic number.

12379267900 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 12379267900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13717872000).

12379267900 is an abundant number, since it is smaller than the sum of its proper divisors (15056476100).

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

12379267900 is a wasteful number, since it uses less digits than its factorization.

12379267900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9091 (or 9084 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The spelling of 12379267900 in words is "twelve billion, three hundred seventy-nine million, two hundred sixty-seven thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 239 295 478 590 956 1180 1195 1475 2390 2950 4780 5900 5975 8779 11950 14101 17558 23900 28202 35116 43895 56404 70505 87790 141010 175580 219475 282020 352525 438950 517961 705050 877900 1035922 1410100 2071844 2098181 2589805 4196362 5179610 8392724 10359220 10490905 12949025 20981810 25898050 41963620 51796100 52454525 104909050 123792679 209818100 247585358 495170716 618963395 1237926790 2475853580 3094816975 6189633950 12379267900