Search a number
-
+
12637675000 = 2355618287
BaseRepresentation
bin10111100010100001…
…11001110111111000
31012121202000102000001
423301100321313320
5201340221100000
65450005122344
7625113315346
oct136120716770
935552012001
1012637675000
1153a5702305
1225483b93b4
1312652c1902
1487c5b0996
154de73146a
hex2f1439df8

12637675000 has 96 divisors (see below), whose sum is σ = 30106823040. Its totient is φ = 4971600000.

The previous prime is 12637674983. The next prime is 12637675133. The reversal of 12637675000 is 57673621.

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, 1520857 + ... + 1529143.

It is an arithmetic number, because the mean of its divisors is an integer number (313612740).

Almost surely, 212637675000 is an apocalyptic number.

12637675000 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 12637675000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15053411520).

12637675000 is an abundant number, since it is smaller than the sum of its proper divisors (17469148040).

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

12637675000 is an frugal number, since it uses more digits than its factorization.

12637675000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8379 (or 8355 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The spelling of 12637675000 in words is "twelve billion, six hundred thirty-seven million, six hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 625 1000 1220 1250 1525 2440 2500 3050 3125 5000 6100 6250 7625 8287 12200 12500 15250 16574 25000 30500 33148 38125 41435 61000 66296 76250 82870 152500 165740 190625 207175 305000 331480 381250 414350 505507 762500 828700 1011014 1035875 1525000 1657400 2022028 2071750 2527535 4044056 4143500 5055070 5179375 8287000 10110140 10358750 12637675 20220280 20717500 25275350 25896875 41435000 50550700 51793750 63188375 101101400 103587500 126376750 207175000 252753500 315941875 505507000 631883750 1263767500 1579709375 2527535000 3159418750 6318837500 12637675000