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34135686784 = 27266685053
BaseRepresentation
bin11111110010101001…
…010011111010000000
310021002222022120002201
4133302221103322000
51024402213434114
623403130122544
72315625356503
oct376251237200
9107088276081
1034135686784
11135277837a1
126747b80454
1332b0143844
14191b7dd13a
15d4bc52874
hex7f2a53e80

34135686784 has 16 divisors (see below), whose sum is σ = 68004688770. Its totient is φ = 17067843328.

The previous prime is 34135686751. The next prime is 34135686841. The reversal of 34135686784 is 48768653143.

It can be written as a sum of positive squares in only one way, i.e., 25510478400 + 8625208384 = 159720^2 + 92872^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×341356867842 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 133342399 + ... + 133342654.

Almost surely, 234135686784 is an apocalyptic number.

It is an amenable number.

34135686784 is a deficient number, since it is larger than the sum of its proper divisors (33869001986).

34135686784 is an equidigital number, since it uses as much as digits as its factorization.

34135686784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266685067 (or 266685055 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 55.

The spelling of 34135686784 in words is "thirty-four billion, one hundred thirty-five million, six hundred eighty-six thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 266685053 533370106 1066740212 2133480424 4266960848 8533921696 17067843392 34135686784