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136007788276404 = 223211736287374831
BaseRepresentation
bin11110111011001011000111…
…111010000010101010110100
3122211120012212121120021101200
4132323023013322002222310
5120311322422244321104
61201133040530452500
740435144532400102
oct3673130772025264
9584505777507350
10136007788276404
113a377640847a50
1213307279134130
135ab7630327855
142582b524a0c72
1510acd1c158b39
hex7bb2c7e82ab4

136007788276404 has 144 divisors (see below), whose sum is σ = 380200603071744. Its totient is φ = 40648709606400.

The previous prime is 136007788276369. The next prime is 136007788276429. The reversal of 136007788276404 is 404672887700631.

136007788276404 is a `hidden beast` number, since 1 + 3 + 60 + 0 + 77 + 88 + 27 + 6 + 404 = 666.

It is a congruent number.

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, 1817495269 + ... + 1817570099.

It is an arithmetic number, because the mean of its divisors is an integer number (2640281965776).

Almost surely, 2136007788276404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136007788276404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190100301535872).

136007788276404 is an abundant number, since it is smaller than the sum of its proper divisors (244192814795340).

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

136007788276404 is a wasteful number, since it uses less digits than its factorization.

136007788276404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137798 (or 137793 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 136007788276404 in words is "one hundred thirty-six trillion, seven billion, seven hundred eighty-eight million, two hundred seventy-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 132 146 198 219 292 396 438 657 803 876 1314 1606 2409 2628 3212 4818 7227 9636 14454 28908 62873 74831 125746 149662 188619 224493 251492 299324 377238 448986 565857 673479 691603 754476 823141 897972 1131714 1346958 1383206 1646282 2074809 2263428 2469423 2693916 2766412 3292564 4149618 4589729 4938846 5462663 6224427 7408269 8299236 9179458 9877692 10925326 12448854 13769187 14816538 16387989 18358916 21850652 24897708 27538374 29633076 32775978 41307561 49163967 50487019 55076748 60089293 65551956 82615122 98327934 100974038 120178586 151461057 165230244 180267879 196655868 201948076 240357172 302922114 360535758 454383171 540803637 605844228 721071516 908766342 1081607274 1817532684 2163214548 4704849463 9409698926 14114548389 18819397852 28229096778 42343645167 51753344093 56458193556 84687290334 103506688186 155260032279 169374580668 207013376372 310520064558 343454010799 465780096837 621040129116 686908021598 931560193674 1030362032397 1373816043196 1863120387348 2060724064794 3091086097191 3777994118789 4121448129588 6182172194382 7555988237578 11333982356367 12364344388764 15111976475156 22667964712734 34001947069101 45335929425468 68003894138202 136007788276404