Search a number
-
+
77055336665240 = 23567107751735747
BaseRepresentation
bin10001100001010011010111…
…111110000101000010011000
3101002211102021220021121020212
4101201103113332011002120
540044433312141241430
6431514422153510252
722142031034551623
oct2141232776050230
9332742256247225
1077055336665240
1122608a917a005a
128785a10412388
1333cc3968c841b
1415056d9088dba
158d95bd343b95
hex4614d7f85098

77055336665240 has 128 divisors (see below), whose sum is σ = 177635289565440. Its totient is φ = 30073502148096.

The previous prime is 77055336665231. The next prime is 77055336665267. The reversal of 77055336665240 is 4256663355077.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 77055336665240.

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, 2155557047 + ... + 2155592793.

It is an arithmetic number, because the mean of its divisors is an integer number (1387775699730).

Almost surely, 277055336665240 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 77055336665240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88817644782720).

77055336665240 is an abundant number, since it is smaller than the sum of its proper divisors (100579952900200).

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

77055336665240 is a wasteful number, since it uses less digits than its factorization.

77055336665240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43449 (or 43445 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 59.

The spelling of 77055336665240 in words is "seventy-seven trillion, fifty-five billion, three hundred thirty-six million, six hundred sixty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 107 134 214 268 335 428 535 536 670 856 1070 1340 2140 2680 4280 7169 7517 14338 15034 28676 30068 35747 35845 37585 57352 60136 71494 71690 75170 142988 143380 150340 178735 285976 286760 300680 357470 503639 714940 804319 1007278 1429880 1608638 2014556 2395049 2518195 3217276 3824929 4021595 4029112 4790098 5036390 6434552 7649858 8043190 9580196 10072780 11975245 15299716 16086380 19124645 19160392 20145560 23950490 30599432 32172760 38249290 47900980 53889373 76498580 95801960 107778746 152997160 215557492 256270243 268710199 269446865 431114984 512540486 537420398 538893730 1025080972 1074840796 1077787460 1281351215 1343550995 2050161944 2149681592 2155574920 2562702430 2687101990 5125404860 5374203980 10250809720 10748407960 18003583333 28751991293 36007166666 57503982586 72014333332 90017916665 115007965172 143759956465 144028666664 180035833330 230015930344 287519912930 360071666660 575039825860 720143333320 1150079651720 1926383416631 3852766833262 7705533666524 9631917083155 15411067333048 19263834166310 38527668332620 77055336665240