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12946433745 = 3573131712547
BaseRepresentation
bin11000000111010101…
…01110011011010001
31020102020222222101010
430003222232123101
5203003241334440
65540355001133
7635552604540
oct140352563321
936366888333
1012946433745
115543a19323
1226138991a9
1312b42682ab
148ab5c4157
1550b8c0580
hex303aae6d1

12946433745 has 64 divisors (see below), whose sum is σ = 24516182016. Its totient is φ = 5708931840.

The previous prime is 12946433741. The next prime is 12946433749. The reversal of 12946433745 is 54733464921.

It is a happy number.

12946433745 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 (12946433741) and next prime (12946433749).

It is not a de Polignac number, because 12946433745 - 22 = 12946433741 is a prime.

It is a super-2 number, since 2×129464337452 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12946433694 and 12946433703.

It is not an unprimeable number, because it can be changed into a prime (12946433741) 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 63 ways as a sum of consecutive naturals, for example, 1025562 + ... + 1038108.

It is an arithmetic number, because the mean of its divisors is an integer number (383065344).

Almost surely, 212946433745 is an apocalyptic number.

12946433745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12946433745 is a deficient number, since it is larger than the sum of its proper divisors (11569748271).

12946433745 is a wasteful number, since it uses less digits than its factorization.

12946433745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12910.

The product of its digits is 2177280, while the sum is 48.

The spelling of 12946433745 in words is "twelve billion, nine hundred forty-six million, four hundred thirty-three thousand, seven hundred forty-five".

Divisors: 1 3 5 7 15 21 31 35 93 105 155 217 317 465 651 951 1085 1585 2219 3255 4755 6657 9827 11095 12547 29481 33285 37641 49135 62735 68789 87829 147405 188205 206367 263487 343945 388957 439145 1031835 1166871 1317435 1944785 2722699 3977399 5834355 8168097 11932197 13613495 19886995 27841793 40840485 59660985 83525379 123299369 139208965 369898107 417626895 616496845 863095583 1849490535 2589286749 4315477915 12946433745