Search a number
-
+
2097792635067 = 34199130144093
BaseRepresentation
bin11110100001101110001…
…011110101000010111011
321102112202202221102210000
4132201232023311002323
5233332234403310232
64243413532324043
7304363154121213
oct36415613650273
97375682842700
102097792635067
1173973a286a48
1229a696613623
13122a899640cc
14737686b7243
153987d54327c
hex1e86e2f50bb

2097792635067 has 20 divisors (see below), whose sum is σ = 3149487074800. Its totient is φ = 1391500631664.

The previous prime is 2097792634981. The next prime is 2097792635093. The reversal of 2097792635067 is 7605362977902.

2097792635067 is a `hidden beast` number, since 209 + 7 + 79 + 2 + 6 + 350 + 6 + 7 = 666.

It is not a de Polignac number, because 2097792635067 - 211 = 2097792633019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2097792634995 and 2097792635013.

It is not an unprimeable number, because it can be changed into a prime (2097792635567) 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 19 ways as a sum of consecutive naturals, for example, 65055928 + ... + 65088165.

It is an arithmetic number, because the mean of its divisors is an integer number (157474353740).

Almost surely, 22097792635067 is an apocalyptic number.

2097792635067 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2097792635067 is a deficient number, since it is larger than the sum of its proper divisors (1051694439733).

2097792635067 is a wasteful number, since it uses less digits than its factorization.

2097792635067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130144304 (or 130144295 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 63.

The spelling of 2097792635067 in words is "two trillion, ninety-seven billion, seven hundred ninety-two million, six hundred thirty-five thousand, sixty-seven".

Divisors: 1 3 9 27 81 199 597 1791 5373 16119 130144093 390432279 1171296837 3513890511 10541671533 25898674507 77696023521 233088070563 699264211689 2097792635067