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34077337111037 = 1183101369550249
BaseRepresentation
bin1111011111110001111111…
…00100101100100111111101
311110122202120012210202111002
413233320333210230213331
513431310341300023122
6200250525035540045
710115002116114263
oct757707744544775
9143582505722432
1034077337111037
11a94913244a920
1239a44bb2ba625
13160262c77a93c
1485b4cd932433
153e166a59d992
hex1efe3f92c9fd

34077337111037 has 16 divisors (see below), whose sum is σ = 37995678504000. Its totient is φ = 30303120336000.

The previous prime is 34077337111009. The next prime is 34077337111079. The reversal of 34077337111037 is 73011173377043.

It is a cyclic number.

It is not a de Polignac number, because 34077337111037 - 210 = 34077337110013 is a prime.

It is a super-2 number, since 2×340773371110372 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34077337110982 and 34077337111000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34077337111007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184682912 + ... + 184867337.

It is an arithmetic number, because the mean of its divisors is an integer number (2374729906500).

Almost surely, 234077337111037 is an apocalyptic number.

It is an amenable number.

34077337111037 is a deficient number, since it is larger than the sum of its proper divisors (3918341392963).

34077337111037 is a wasteful number, since it uses less digits than its factorization.

34077337111037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369550444.

The product of its (nonzero) digits is 777924, while the sum is 47.

The spelling of 34077337111037 in words is "thirty-four trillion, seventy-seven billion, three hundred thirty-seven million, one hundred eleven thousand, thirty-seven".

Divisors: 1 11 83 101 913 1111 8383 92213 369550249 4065052739 30672670667 37324575149 337399377337 410570326639 3097939737367 34077337111037