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136083702123666 = 232111635338178989
BaseRepresentation
bin11110111100010001110100…
…101110011000110010010010
3122211211110211011212021121100
4132330101310232120302102
5120314043410220424131
61201231553440005230
740443502666425003
oct3674216456306222
9584743734767540
10136083702123666
113a3a6857176aa0
1213319b24600816
135ac183aa351bb
1425866b469b1aa
1510aecb1a357e6
hex7bc474b98c92

136083702123666 has 96 divisors (see below), whose sum is σ = 323635874103360. Its totient is φ = 40983208156800.

The previous prime is 136083702123637. The next prime is 136083702123679. The reversal of 136083702123666 is 666321207380631.

136083702123666 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1722778900 + ... + 1722857888.

It is an arithmetic number, because the mean of its divisors is an integer number (3371207021910).

Almost surely, 2136083702123666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136083702123666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161817937051680).

136083702123666 is an abundant number, since it is smaller than the sum of its proper divisors (187552171979694).

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

136083702123666 is a wasteful number, since it uses less digits than its factorization.

136083702123666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132552 (or 132549 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 136083702123666 in words is "one hundred thirty-six trillion, eighty-three billion, seven hundred two million, one hundred twenty-three thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 163 198 326 489 978 1467 1793 2934 3586 5379 10758 16137 32274 53381 78989 106762 157978 160143 236967 320286 473934 480429 587191 710901 868879 960858 1174382 1421802 1737758 1761573 2606637 3523146 5213274 5284719 7819911 8701103 10569438 12875207 15639822 17402206 25750414 26103309 38625621 52206618 77251242 78309927 95712133 115876863 141627277 156619854 191424266 231753726 283254554 287136399 424881831 574272798 849763662 861409197 1274645493 1722818394 2549290986 4216511809 8433023618 12649535427 25299070854 37948606281 46381629899 75897212562 92763259798 139144889697 278289779394 417434669091 687291424867 834869338182 1374582849734 2061874274601 4123748549202 6185622823803 7560205673537 12371245647606 15120411347074 22680617020611 45361234041222 68041851061833 136083702123666