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12373375240 = 2354142117921
BaseRepresentation
bin10111000011000001…
…01011100100001000
31011221022200120220001
423201200223210020
5200320041001430
65403444212344
7615423645202
oct134140534410
934838616801
1012373375240
11527a4a1a56
12249399a0b4
131222613515
14855451772
154c64253ca
hex2e182b908

12373375240 has 64 divisors (see below), whose sum is σ = 28588457520. Its totient is φ = 4816896000.

The previous prime is 12373375229. The next prime is 12373375249. The reversal of 12373375240 is 4257337321.

It can be written as a sum of positive squares in 8 ways, for example, as 820135044 + 11553240196 = 28638^2 + 107486^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12373375240.

It is not an unprimeable number, because it can be changed into a prime (12373375249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681480 + ... + 699400.

Almost surely, 212373375240 is an apocalyptic number.

12373375240 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 12373375240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14294228760).

12373375240 is an abundant number, since it is smaller than the sum of its proper divisors (16215082280).

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

12373375240 is a wasteful number, since it uses less digits than its factorization.

12373375240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18394 (or 18390 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 37.

The spelling of 12373375240 in words is "twelve billion, three hundred seventy-three million, three hundred seventy-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 421 820 842 1640 1684 2105 3368 4210 8420 16840 17261 17921 34522 35842 69044 71684 86305 89605 138088 143368 172610 179210 345220 358420 690440 716840 734761 1469522 2939044 3673805 5878088 7347610 7544741 14695220 15089482 29390440 30178964 37723705 60357928 75447410 150894820 301789640 309334381 618668762 1237337524 1546671905 2474675048 3093343810 6186687620 12373375240