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3364656020136 = 23322914391119823
BaseRepresentation
bin110000111101100101001…
…000000111101010101000
3102220122202122220102211200
4300331211020013222220
5420111303420121021
611053411315324200
7465042212200035
oct60754510075250
912818678812750
103364656020136
111087a40674964
124641145b0660
131b53938bb598
14b8bc900c38c
155c7c82b2126
hex30f65207aa8

3364656020136 has 96 divisors (see below), whose sum is σ = 9433397376000. Its totient is φ = 1082124312192.

The previous prime is 3364656020111. The next prime is 3364656020149. The reversal of 3364656020136 is 6310206564633.

3364656020136 is a `hidden beast` number, since 3 + 3 + 6 + 4 + 6 + 5 + 602 + 0 + 1 + 36 = 666.

It is a super-2 number, since 2×33646560201362 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3364656020091 and 3364656020100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2444721 + ... + 3564543.

It is an arithmetic number, because the mean of its divisors is an integer number (98264556000).

Almost surely, 23364656020136 is an apocalyptic number.

3364656020136 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 3364656020136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716698688000).

3364656020136 is an abundant number, since it is smaller than the sum of its proper divisors (6068741355864).

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

3364656020136 is a wasteful number, since it uses less digits than its factorization.

3364656020136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121303 (or 1121296 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 3364656020136 in words is "three trillion, three hundred sixty-four billion, six hundred fifty-six million, twenty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 1439 2088 2878 4317 5756 8634 11512 12951 17268 25902 34536 41731 51804 83462 103608 125193 166924 250386 333848 375579 500772 751158 1001544 1119823 1502316 2239646 3004632 3359469 4479292 6718938 8958584 10078407 13437876 20156814 26875752 32474867 40313628 64949734 80627256 97424601 129899468 194849202 259798936 292273803 389698404 584547606 779396808 1169095212 1611425297 2338190424 3222850594 4834275891 6445701188 9668551782 12891402376 14502827673 19337103564 29005655346 38674207128 46731333613 58011310692 93462667226 116022621384 140194000839 186925334452 280388001678 373850668904 420582002517 560776003356 841164005034 1121552006712 1682328010068 3364656020136