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34074409373937 = 324618212680013
BaseRepresentation
bin1111011111101100100010…
…00100010001000011110001
311110122111000011202022012200
413233312101010101003301
513431233342244431222
6200245322332213413
710114536425551512
oct757662104210361
9143574004668180
1034074409373937
11a94796a856689
1239a3a2290a269
131602284047c1a
1485b2d2b7aa09
153e1548530eac
hex1efd911110f1

34074409373937 has 12 divisors (see below), whose sum is σ = 49325356164084. Its totient is φ = 22666996833120.

The previous prime is 34074409373911. The next prime is 34074409373957. The reversal of 34074409373937 is 73937390447043.

34074409373937 is a `hidden beast` number, since 3 + 4 + 0 + 7 + 440 + 93 + 73 + 9 + 37 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22082255078976 + 11992154294961 = 4699176^2 + 3462969^2 .

It is a de Polignac number, because none of the positive numbers 2k-34074409373937 is a prime.

It is a super-2 number, since 2×340744093739372 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34074409373957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4106335858 + ... + 4106344155.

It is an arithmetic number, because the mean of its divisors is an integer number (4110446347007).

Almost surely, 234074409373937 is an apocalyptic number.

It is an amenable number.

34074409373937 is a deficient number, since it is larger than the sum of its proper divisors (15250946790147).

34074409373937 is a wasteful number, since it uses less digits than its factorization.

34074409373937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8212680480 (or 8212680477 counting only the distinct ones).

The product of its (nonzero) digits is 144027072, while the sum is 63.

The spelling of 34074409373937 in words is "thirty-four trillion, seventy-four billion, four hundred nine million, three hundred seventy-three thousand, nine hundred thirty-seven".

Divisors: 1 3 9 461 1383 4149 8212680013 24638040039 73914120117 3786045485993 11358136457979 34074409373937