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12364656460 = 22513359132469
BaseRepresentation
bin10111000001111110…
…11010111101001100
31011220201021121222021
423200333122331030
5200310323001320
65402533255524
7615256563052
oct134077327514
934821247867
1012364656460
115275587452
122490a945a4
13122087cb90
148542221d2
154c57a1daa
hex2e0fdaf4c

12364656460 has 48 divisors (see below), whose sum is σ = 28041249600. Its totient is φ = 4552660224.

The previous prime is 12364656431. The next prime is 12364656463. The reversal of 12364656460 is 6465646321.

It is not an unprimeable number, because it can be changed into a prime (12364656463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27106 + ... + 159574.

It is an arithmetic number, because the mean of its divisors is an integer number (584192700).

Almost surely, 212364656460 is an apocalyptic number.

12364656460 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 12364656460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14020624800).

12364656460 is an abundant number, since it is smaller than the sum of its proper divisors (15676593140).

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

12364656460 is a wasteful number, since it uses less digits than its factorization.

12364656460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132850 (or 132848 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 12364656460 in words is "twelve billion, three hundred sixty-four million, six hundred fifty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 359 718 1436 1795 3590 4667 7180 9334 18668 23335 46670 93340 132469 264938 529876 662345 1324690 1722097 2649380 3444194 6888388 8610485 17220970 34441940 47556371 95112742 190225484 237781855 475563710 618232823 951127420 1236465646 2472931292 3091164115 6182328230 12364656460