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34073670373745 = 526950873497977
BaseRepresentation
bin1111011111101011001010…
…00001001101000101110001
311110122102002200012012112012
413233311211001031011301
513431230334103424440
6200245121133012305
710114512213265142
oct757654501150561
9143572080165465
1034073670373745
11a947620699922
1239a3857324095
131602196c020c2
1485b26296dac9
153e1503707e65
hex1efd6504d171

34073670373745 has 16 divisors (see below), whose sum is σ = 41041295090640. Its totient is φ = 27157013597184.

The previous prime is 34073670373741. The next prime is 34073670373777. The reversal of 34073670373745 is 54737307637043.

It can be written as a sum of positive squares in 8 ways, for example, as 11025826506256 + 23047843867489 = 3320516^2 + 4800817^2 .

It is a cyclic number.

It is not a de Polignac number, because 34073670373745 - 22 = 34073670373741 is a prime.

It is a super-2 number, since 2×340736703737452 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34073670373741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68175197 + ... + 68673173.

It is an arithmetic number, because the mean of its divisors is an integer number (2565080943165).

Almost surely, 234073670373745 is an apocalyptic number.

It is an amenable number.

34073670373745 is a deficient number, since it is larger than the sum of its proper divisors (6967624716895).

34073670373745 is a wasteful number, since it uses less digits than its factorization.

34073670373745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549124.

The product of its (nonzero) digits is 93350880, while the sum is 59.

The spelling of 34073670373745 in words is "thirty-four trillion, seventy-three billion, six hundred seventy million, three hundred seventy-three thousand, seven hundred forty-five".

Divisors: 1 5 269 1345 50873 254365 497977 2489885 13684837 68424185 133955813 669779065 25333583921 126667919605 6814734074749 34073670373745