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34680023533836 = 22337313729320401
BaseRepresentation
bin1111110001010100100100…
…11110111100100100001100
311112210101012110122020021000
413320222102132330210030
514021144142011040321
6201431441033340300
710206356212146612
oct770522236744414
9145711173566230
1034680023533836
11100607961a664a
123a81279867690
131647409b49a25
1487c7448b36b2
154021911bd826
hex1f8a927bc90c

34680023533836 has 96 divisors (see below), whose sum is σ = 91149755211200. Its totient is φ = 11400785510400.

The previous prime is 34680023533739. The next prime is 34680023533847. The reversal of 34680023533836 is 63833532008643.

34680023533836 is a `hidden beast` number, since 3 + 4 + 6 + 8 + 0 + 0 + 23 + 533 + 83 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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, 108079236 + ... + 108399636.

Almost surely, 234680023533836 is an apocalyptic number.

34680023533836 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34680023533836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45574877605600).

34680023533836 is an abundant number, since it is smaller than the sum of its proper divisors (56469731677364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34680023533836 is a wasteful number, since it uses less digits than its factorization.

34680023533836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334216 (or 334208 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 34680023533836 in words is "thirty-four trillion, six hundred eighty billion, twenty-three million, five hundred thirty-three thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 3942 7884 13729 27458 41187 54916 82374 123561 164748 247122 320401 370683 494244 640802 741366 961203 1002217 1281604 1482732 1922406 2004434 2883609 3006651 3844812 4008868 5767218 6013302 8650827 9019953 11534436 12026604 17301654 18039906 23389273 27059859 34603308 36079812 46778546 54119718 70167819 93557092 108239436 140335638 210503457 280671276 421006914 631510371 842013828 1263020742 2526041484 4398785329 8797570658 13196355987 17595141316 26392711974 39589067961 52785423948 79178135922 118767203883 158356271844 237534407766 321111329017 475068815532 642222658034 963333987051 1284445316068 1926667974102 2890001961153 3853335948204 5780003922306 8670005883459 11560007844612 17340011766918 34680023533836