Search a number
-
+
12507513804 = 22332331316087
BaseRepresentation
bin10111010011000000…
…11000001111001100
31012021200002112102000
423221200120033030
5201103410420204
65425035232300
7621643053552
oct135140301714
935250075360
1012507513804
115339190275
1225108a8690
13124434a956
148691abbd2
154d30c0039
hex2e98183cc

12507513804 has 96 divisors (see below), whose sum is σ = 33946967040. Its totient is φ = 3974914944.

The previous prime is 12507513793. The next prime is 12507513817. The reversal of 12507513804 is 40831570521.

12507513804 is a `hidden beast` number, since 12 + 50 + 7 + 513 + 80 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769449 + ... + 785535.

It is an arithmetic number, because the mean of its divisors is an integer number (353614240).

Almost surely, 212507513804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12507513804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16973483520).

12507513804 is an abundant number, since it is smaller than the sum of its proper divisors (21439453236).

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

12507513804 is a wasteful number, since it uses less digits than its factorization.

12507513804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16436 (or 16428 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 12507513804 in words is "twelve billion, five hundred seven million, five hundred thirteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 313 414 621 626 828 939 1242 1252 1878 2484 2817 3756 5634 7199 8451 11268 14398 16087 16902 21597 28796 32174 33804 43194 48261 64348 64791 86388 96522 129582 144783 193044 194373 259164 289566 370001 388746 434349 579132 740002 777492 868698 1110003 1480004 1737396 2220006 3330009 4440012 5035231 6660018 9990027 10070462 13320036 15105693 19980054 20140924 30211386 39960108 45317079 60422772 90634158 115810313 135951237 181268316 231620626 271902474 347430939 463241252 543804948 694861878 1042292817 1389723756 2084585634 3126878451 4169171268 6253756902 12507513804