Search a number
-
+
77655740568 = 2337367140797
BaseRepresentation
bin100100001010010100…
…1001001000010011000
321102102221222100121120
41020110221021002120
52233014332144233
655401412005240
75416244622000
oct1102451110230
9242387870546
1077655740568
112aa2a70629a
1213072900820
137427564463
143a896a9000
1520477a84b3
hex1214a49098

77655740568 has 128 divisors (see below), whose sum is σ = 229782336000. Its totient is φ = 21856044672.

The previous prime is 77655740543. The next prime is 77655740599. The reversal of 77655740568 is 86504755677.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481146 + ... + 621942.

It is an arithmetic number, because the mean of its divisors is an integer number (1795174500).

Almost surely, 277655740568 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 77655740568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114891168000).

77655740568 is an abundant number, since it is smaller than the sum of its proper divisors (152126595432).

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

77655740568 is a wasteful number, since it uses less digits than its factorization.

77655740568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140894 (or 140876 counting only the distinct ones).

The product of its (nonzero) digits is 49392000, while the sum is 60.

The spelling of 77655740568 in words is "seventy-seven billion, six hundred fifty-five million, seven hundred forty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 67 84 98 134 147 168 196 201 268 294 343 392 402 469 536 588 686 804 938 1029 1176 1372 1407 1608 1876 2058 2744 2814 3283 3752 4116 5628 6566 8232 9849 11256 13132 19698 22981 26264 39396 45962 68943 78792 91924 137886 140797 183848 275772 281594 422391 551544 563188 844782 985579 1126376 1689564 1971158 2956737 3379128 3942316 5913474 6899053 7884632 9433399 11826948 13798106 18866798 20697159 23653896 27596212 28300197 37733596 41394318 48293371 55192424 56600394 66033793 75467192 82788636 96586742 113200788 132067586 144880113 165577272 193173484 198101379 226401576 264135172 289760226 386346968 396202758 462236551 528270344 579520452 792405516 924473102 1159040904 1386709653 1584811032 1848946204 2773419306 3235655857 3697892408 5546838612 6471311714 9706967571 11093677224 12942623428 19413935142 25885246856 38827870284 77655740568