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34348746539412 = 2234141257750509
BaseRepresentation
bin1111100111101011100001…
…10101100000000110010100
311111121201010012112021010000
413303311300311200012110
514000232213103230122
6201015332445531300
710143420650152464
oct763656065400624
9144551105467100
1034348746539412
11aa43248a51528
123a29025873b30
1316220c4214536
1486a6b98b3ba4
153e8752c3c0ac
hex1f3d70d60194

34348746539412 has 60 divisors (see below), whose sum is σ = 89795163718260. Its totient is φ = 11449485869184.

The previous prime is 34348746539377. The next prime is 34348746539413. The reversal of 34348746539412 is 21493564784343.

34348746539412 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 87 + 4 + 6 + 539 + 4 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6938872662276 + 27409873877136 = 2634174^2 + 5235444^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34348746539412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34348746539413) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45392014 + ... + 46142522.

It is an arithmetic number, because the mean of its divisors is an integer number (1496586061971).

Almost surely, 234348746539412 is an apocalyptic number.

It is an amenable number.

34348746539412 is an abundant number, since it is smaller than the sum of its proper divisors (55446417178848).

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

34348746539412 is a wasteful number, since it uses less digits than its factorization.

34348746539412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891782 (or 891771 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 63.

The spelling of 34348746539412 in words is "thirty-four trillion, three hundred forty-eight billion, seven hundred forty-six million, five hundred thirty-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 141257 282514 423771 565028 750509 847542 1271313 1501018 1695084 2251527 2542626 3002036 3813939 4503054 5085252 6754581 7627878 9006108 11441817 13509162 15255756 20263743 22883634 27018324 40527486 45767268 60791229 81054972 121582458 243164916 106014649813 212029299626 318043949439 424058599252 636087898878 954131848317 1272175797756 1908263696634 2862395544951 3816527393268 5724791089902 8587186634853 11449582179804 17174373269706 34348746539412