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12453245400 = 2335237215161
BaseRepresentation
bin10111001100100010…
…10111000111011000
31012010212222102011010
423212101113013120
5201001012323100
65415420133520
7620413560621
oct134621270730
935125872133
1012453245400
115310594652
1224b66972a0
13123602977b
14861cc2a48
154cd450750
hex2e64571d8

12453245400 has 144 divisors (see below), whose sum is σ = 39679257240. Its totient is φ = 3230899200.

The previous prime is 12453245377. The next prime is 12453245407. The reversal of 12453245400 is 454235421.

12453245400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12453245407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 813820 + ... + 828980.

Almost surely, 212453245400 is an apocalyptic number.

12453245400 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 12453245400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19839628620).

12453245400 is an abundant number, since it is smaller than the sum of its proper divisors (27226011840).

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

12453245400 is a wasteful number, since it uses less digits than its factorization.

12453245400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15254 (or 15208 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 12453245400 in words is "twelve billion, four hundred fifty-three million, two hundred forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1369 1480 1850 2220 2738 2775 3700 4107 4440 5476 5550 6845 7400 8214 10952 11100 13690 15161 16428 20535 22200 27380 30322 32856 34225 41070 45483 54760 60644 68450 75805 82140 90966 102675 121288 136900 151610 164280 181932 205350 227415 273800 303220 363864 379025 410700 454830 560957 606440 758050 821400 909660 1121914 1137075 1516100 1682871 1819320 2243828 2274150 2804785 3032200 3365742 4487656 4548300 5609570 6731484 8414355 9096600 11219140 13462968 14023925 16828710 20755409 22438280 28047850 33657420 41510818 42071775 56095700 62266227 67314840 83021636 84143550 103777045 112191400 124532454 166043272 168287100 207554090 249064908 311331135 336574200 415108180 498129816 518885225 622662270 830216360 1037770450 1245324540 1556655675 2075540900 2490649080 3113311350 4151081800 6226622700 12453245400