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34790797813077 = 332237636790469
BaseRepresentation
bin1111110100100010111010…
…01001010010010101010101
311120011222010111222200002000
413322101131021102111111
514030003023220004302
6201554401042505513
710220360255040135
oct772213511222525
9146158114880060
1034790797813077
11100a377040a159
123a9a833965299
1316549b1892517
14883c52848ac5
15404ec625c31c
hex1fa45d252555

34790797813077 has 32 divisors (see below), whose sum is σ = 51573632179200. Its totient is φ = 23179599503424.

The previous prime is 34790797813069. The next prime is 34790797813087. The reversal of 34790797813077 is 77031879709743.

34790797813077 is a `hidden beast` number, since 3 + 479 + 0 + 7 + 9 + 7 + 81 + 3 + 0 + 77 = 666.

It is not a de Polignac number, because 34790797813077 - 23 = 34790797813069 is a prime.

It is a super-2 number, since 2×347907978130772 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34790797812996 and 34790797813014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34790797813007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384515199 + ... + 384605667.

It is an arithmetic number, because the mean of its divisors is an integer number (1611676005600).

Almost surely, 234790797813077 is an apocalyptic number.

It is an amenable number.

34790797813077 is a deficient number, since it is larger than the sum of its proper divisors (16782834366123).

34790797813077 is a wasteful number, since it uses less digits than its factorization.

34790797813077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99082 (or 99076 counting only the distinct ones).

The product of its (nonzero) digits is 392073696, while the sum is 72.

The spelling of 34790797813077 in words is "thirty-four trillion, seven hundred ninety billion, seven hundred ninety-seven million, eight hundred thirteen thousand, seventy-seven".

Divisors: 1 3 9 27 2237 6367 6711 19101 20133 57303 60399 90469 171909 271407 814221 2442663 14242979 42728937 128186811 202379153 384560433 576016123 607137459 1728048369 1821412377 5184145107 5464237131 15552435321 1288548067151 3865644201453 11596932604359 34790797813077