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136048686031764 = 2232113741467223921
BaseRepresentation
bin11110111011110001001101…
…100110100110001110010100
3122211201010102211220111201200
4132323301031212212032110
5120313010202111004024
61201203523055352500
740441123160520342
oct3673611546461624
9584633384814650
10136048686031764
113a392a18534970
1213313191822730
135abb44a398bac
142584b11da2992
1510ade128772c9
hex7bbc4d9a6394

136048686031764 has 144 divisors (see below), whose sum is σ = 385315153694016. Its totient is φ = 40111488230400.

The previous prime is 136048686031691. The next prime is 136048686031781. The reversal of 136048686031764 is 467130686840631.

136048686031764 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 4 + 8 + 6 + 8 + 603 + 17 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 607462524 + ... + 607686444.

Almost surely, 2136048686031764 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 136048686031764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192657576847008).

136048686031764 is an abundant number, since it is smaller than the sum of its proper divisors (249266467662252).

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

136048686031764 is a wasteful number, since it uses less digits than its factorization.

136048686031764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265446 (or 265441 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 136048686031764 in words is "one hundred thirty-six trillion, forty-eight billion, six hundred eighty-six million, thirty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 14652 41467 82934 124401 165868 223921 248802 373203 447842 456137 497604 671763 746406 895684 912274 1343526 1368411 1492812 1534279 1824548 2015289 2463131 2687052 2736822 3068558 4030578 4105233 4602837 4926262 5473644 6137116 7389393 8061156 8210466 8285077 9205674 9852524 13808511 14778786 16420932 16570154 16877069 18411348 22168179 24855231 27617022 29557572 33140308 33754138 44336358 49710462 50631207 55234044 67508276 74565693 88672716 91135847 99420924 101262414 149131386 151893621 182271694 202524828 273407541 298262772 303787242 364543388 546815082 607574484 820222623 1093630164 1640445246 3280890492 9285332107 18570664214 27855996321 37141328428 55711992642 83567988963 102138653177 111423985284 167135977926 204277306354 306415959531 334271955852 343557287959 408554612708 612831919062 687114575918 919247878593 1030671863877 1225663838124 1374229151836 1838495757186 2061343727754 3092015591631 3676991514372 3779130167549 4122687455508 6184031183262 7558260335098 11337390502647 12368062366524 15116520670196 22674781005294 34012171507941 45349562010588 68024343015882 136048686031764