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34387516845012 = 223231011233588637
BaseRepresentation
bin1111101000110011101111…
…01110011110101111010100
311111202102012011200212000110
413310121313232132233110
514001401113303020022
6201045223540043020
710146262503261432
oct764316756365724
9144672164625013
1034387516845012
11aa58733861a01
123a34645993470
1316259625a6776
1486c516a21d52
153e97717c000c
hex1f4677b9ebd4

34387516845012 has 48 divisors (see below), whose sum is σ = 84555099603072. Its totient is φ = 10855579996800.

The previous prime is 34387516845001. The next prime is 34387516845023. The reversal of 34387516845012 is 21054861578343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34387516845001) and next prime (34387516845023).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616766443 + ... + 616822194.

It is an arithmetic number, because the mean of its divisors is an integer number (1761564575064).

Almost surely, 234387516845012 is an apocalyptic number.

It is an amenable number.

34387516845012 is an abundant number, since it is smaller than the sum of its proper divisors (50167582758060).

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

34387516845012 is a wasteful number, since it uses less digits than its factorization.

34387516845012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233588768 (or 1233588766 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 34387516845012 in words is "thirty-four trillion, three hundred eighty-seven billion, five hundred sixteen million, eight hundred forty-five thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 101 138 202 276 303 404 606 1212 2323 4646 6969 9292 13938 27876 1233588637 2467177274 3700765911 4934354548 7401531822 14803063644 28372538651 56745077302 85117615953 113490154604 124592452337 170235231906 249184904674 340470463812 373777357011 498369809348 747554714022 1495109428044 2865626403751 5731252807502 8596879211253 11462505615004 17193758422506 34387516845012