Search a number
-
+
12469975200 = 2532521731941
BaseRepresentation
bin10111001110100010…
…01011100010100000
31012012001110101010100
423213101023202200
5201014303201300
65421214502400
7621006016554
oct134721134240
935161411110
1012469975200
115319a80a31
122500204a00
131239636567
148641d9864
154ceb57700
hex2e744b8a0

12469975200 has 108 divisors (see below), whose sum is σ = 43972275438. Its totient is φ = 3325324800.

The previous prime is 12469975183. The next prime is 12469975207. The reversal of 12469975200 is 257996421.

It can be written as a sum of positive squares in 3 ways, for example, as 10757008656 + 1712966544 = 103716^2 + 41388^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12469975207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 858771 + ... + 873170.

Almost surely, 212469975200 is an apocalyptic number.

12469975200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12469975200 is an abundant number, since it is smaller than the sum of its proper divisors (31502300238).

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

12469975200 is a wasteful number, since it uses less digits than its factorization.

12469975200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731967 (or 1731951 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12469975200 in words is "twelve billion, four hundred sixty-nine million, nine hundred seventy-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 1731941 3463882 5195823 6927764 8659705 10391646 13855528 15587469 17319410 20783292 25979115 27711056 31174938 34638820 41566584 43298525 51958230 55422112 62349876 69277640 77937345 83133168 86597050 103916460 124699752 129895575 138555280 155874690 166266336 173194100 207832920 249399504 259791150 277110560 311749380 346388200 389686725 415665840 498799008 519582300 623498760 692776400 779373450 831331680 1039164600 1246997520 1385552800 1558746900 2078329200 2493995040 3117493800 4156658400 6234987600 12469975200