Search a number
-
+
81697590788608 = 291773966113309
BaseRepresentation
bin10010100100110110110011…
…111000001100001000000000
3101201021012202120102020010101
4102210312303320030020000
541202013131220213413
6445431204410412144
723131312313543104
oct2244666370141000
9351235676366111
1081697590788608
112403883216a533
1291b5659a31054
133678085405402
141626282365904
1596a21d9b1edd
hex4a4db3e0c200

81697590788608 has 160 divisors (see below), whose sum is σ = 175236652015920. Its totient is φ = 37912494735360.

The previous prime is 81697590788563. The next prime is 81697590788621. The reversal of 81697590788608 is 80688709579618.

It can be written as a sum of positive squares in 8 ways, for example, as 4310241036544 + 77387349752064 = 2076112^2 + 8797008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6138515458 + ... + 6138528766.

Almost surely, 281697590788608 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 81697590788608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87618326007960).

81697590788608 is an abundant number, since it is smaller than the sum of its proper divisors (93539061227312).

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

81697590788608 is a wasteful number, since it uses less digits than its factorization.

81697590788608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23078 (or 23062 counting only the distinct ones).

The product of its (nonzero) digits is 2926264320, while the sum is 82.

The spelling of 81697590788608 in words is "eighty-one trillion, six hundred ninety-seven billion, five hundred ninety million, seven hundred eighty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 73 128 136 146 256 272 292 512 544 584 1088 1168 1241 2176 2336 2482 4352 4672 4964 8704 9344 9661 9928 13309 18688 19322 19856 26618 37376 38644 39712 53236 77288 79424 106472 154576 158848 164237 212944 226253 309152 317696 328474 425888 452506 618304 635392 656948 705253 851776 905012 971557 1236608 1313896 1410506 1703552 1810024 1943114 2473216 2627792 2821012 3407104 3620048 3886228 4946432 5255584 5642024 6814208 7240096 7772456 10511168 11284048 11989301 14480192 15544912 16516469 21022336 22568096 23978602 28960384 31089824 33032938 42044672 45136192 47957204 57920768 62179648 66065876 84089344 90272384 95914408 115841536 124359296 128578249 132131752 180544768 191828816 248718592 257156498 264263504 361089536 383657632 497437184 514312996 528527008 767315264 1028625992 1057054016 1534630528 2057251984 2114108032 2185830233 3069261056 4114503968 4228216064 4371660466 6138522112 8229007936 8456432128 8743320932 9386212177 16458015872 17486641864 18772424354 32916031744 34973283728 37544848708 65832063488 69946567456 75089697416 139893134912 150179394832 159565607009 279786269824 300358789664 319131214018 559572539648 600717579328 638262428036 1119145079296 1201435158656 1276524856072 2402870317312 2553049712144 4805740634624 5106099424288 10212198848576 20424397697152 40848795394304 81697590788608