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12052305440 = 255723467869
BaseRepresentation
bin10110011100101111…
…11001011000100000
31011002221112112220222
423032113321120200
5144140342233230
65311534422212
7604444622510
oct131627713040
934087475828
1012052305440
11512523750a
122404361968
1311a0c493a6
14824955840
154a81536e5
hex2ce5f9620

12052305440 has 96 divisors (see below), whose sum is σ = 33956133120. Its totient is φ = 3952548864.

The previous prime is 12052305437. The next prime is 12052305443. The reversal of 12052305440 is 4450325021.

It is a happy number.

12052305440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12052305437) and next prime (12052305443).

It is not an unprimeable number, because it can be changed into a prime (12052305443) 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 15 ways as a sum of consecutive naturals, for example, 208175 + ... + 259694.

It is an arithmetic number, because the mean of its divisors is an integer number (353709720).

Almost surely, 212052305440 is an apocalyptic number.

12052305440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12052305440 is an abundant number, since it is smaller than the sum of its proper divisors (21903827680).

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

12052305440 is a wasteful number, since it uses less digits than its factorization.

12052305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467914 (or 467906 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 12052305440 in words is "twelve billion, fifty-two million, three hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 920 1120 1288 1610 1840 2576 3220 3680 5152 6440 12880 25760 467869 935738 1871476 2339345 3275083 3742952 4678690 6550166 7485904 9357380 10760987 13100332 14971808 16375415 18714760 21521974 26200664 32750830 37429520 43043948 52401328 53804935 65501660 74859040 75326909 86087896 104802656 107609870 131003320 150653818 172175792 215219740 262006640 301307636 344351584 376634545 430439480 524013280 602615272 753269090 860878960 1205230544 1506538180 1721757920 2410461088 3013076360 6026152720 12052305440