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12322504440 = 2332552165699
BaseRepresentation
bin10110111100111101…
…00111111011111000
31011210202222002021100
423132132213323320
5200214030120230
65354430011400
7614235362631
oct133636477370
934722862240
1012322504440
115253806a74
12247a946b60
131214c1195c
1484c7ac888
154c1c27660
hex2de7a7ef8

12322504440 has 96 divisors (see below), whose sum is σ = 40125618000. Its totient is φ = 3279644160.

The previous prime is 12322504361. The next prime is 12322504477. The reversal of 12322504440 is 4440522321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154711 + ... + 220409.

Almost surely, 212322504440 is an apocalyptic number.

12322504440 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 12322504440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20062809000).

12322504440 is an abundant number, since it is smaller than the sum of its proper divisors (27803113560).

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

12322504440 is a wasteful number, since it uses less digits than its factorization.

12322504440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66237 (or 66230 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 12322504440 in words is "twelve billion, three hundred twenty-two million, five hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 521 1042 1563 2084 2605 3126 4168 4689 5210 6252 7815 9378 10420 12504 15630 18756 20840 23445 31260 37512 46890 62520 65699 93780 131398 187560 197097 262796 328495 394194 525592 591291 656990 788388 985485 1182582 1313980 1576776 1970970 2365164 2627960 2956455 3941940 4730328 5912910 7883880 11825820 23651640 34229179 68458358 102687537 136916716 171145895 205375074 273833432 308062611 342291790 410750148 513437685 616125222 684583580 821500296 1026875370 1232250444 1369167160 1540313055 2053750740 2464500888 3080626110 4107501480 6161252220 12322504440