Search a number
-
+
12265407640 = 2354715534201
BaseRepresentation
bin10110110110001001…
…10100010010011000
31011122210112021012001
423123010310102120
5200104421021030
65345030130344
7612643146643
oct133304642230
934583467161
1012265407640
115224559332
1224637b09b4
131206140275
14844d88a5a
154bbbe9cca
hex2db134498

12265407640 has 64 divisors (see below), whose sum is σ = 28209202560. Its totient is φ = 4797542400.

The previous prime is 12265407617. The next prime is 12265407643. The reversal of 12265407640 is 4670456221.

It is a self number, because there is not a number n which added to its sum of digits gives 12265407640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12265407643) 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, 2917540 + ... + 2921740.

It is an arithmetic number, because the mean of its divisors is an integer number (440768790).

Almost surely, 212265407640 is an apocalyptic number.

12265407640 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 12265407640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14104601280).

12265407640 is an abundant number, since it is smaller than the sum of its proper divisors (15943794920).

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

12265407640 is a wasteful number, since it uses less digits than its factorization.

12265407640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5812 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 12265407640 in words is "twelve billion, two hundred sixty-five million, four hundred seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1553 1880 3106 4201 6212 7765 8402 12424 15530 16804 21005 31060 33608 42010 62120 72991 84020 145982 168040 197447 291964 364955 394894 583928 729910 789788 987235 1459820 1579576 1974470 2919640 3948940 6524153 7897880 13048306 26096612 32620765 52193224 65241530 130483060 260966120 306635191 613270382 1226540764 1533175955 2453081528 3066351910 6132703820 12265407640