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71065670016 = 27311109154351
BaseRepresentation
bin100001000101111011…
…0000001000110000000
320210102200121002022110
41002023312001012000
52131020302420031
652351435535320
75064034141215
oct1021366010600
9223380532273
1071065670016
11281587997a0
12119338ba540
136917168523
143622379b0c
151cade64c46
hex108bd81180

71065670016 has 128 divisors (see below), whose sum is σ = 207819532800. Its totient is φ = 21337344000.

The previous prime is 71065670003. The next prime is 71065670023. The reversal of 71065670016 is 61007656017.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 383241 + ... + 537591.

It is an arithmetic number, because the mean of its divisors is an integer number (1623590100).

Almost surely, 271065670016 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 71065670016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103909766400).

71065670016 is an abundant number, since it is smaller than the sum of its proper divisors (136753862784).

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

71065670016 is a wasteful number, since it uses less digits than its factorization.

71065670016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154488 (or 154476 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 71065670016 in words is "seventy-one billion, sixty-five million, six hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 109 128 132 176 192 218 264 327 352 384 436 528 654 704 872 1056 1199 1308 1408 1744 2112 2398 2616 3488 3597 4224 4796 5232 6976 7194 9592 10464 13952 14388 19184 20928 28776 38368 41856 57552 76736 115104 153472 154351 230208 308702 460416 463053 617404 926106 1234808 1697861 1852212 2469616 3395722 3704424 4939232 5093583 6791444 7408848 9878464 10187166 13582888 14817696 16824259 19756928 20374332 27165776 29635392 33648518 40748664 50472777 54331552 59270784 67297036 81497328 100945554 108663104 134594072 162994656 185066849 201891108 217326208 269188144 325989312 370133698 403782216 538376288 555200547 651978624 740267396 807564432 1076752576 1110401094 1480534792 1615128864 2153505152 2220802188 2961069584 3230257728 4441604376 5922139168 6460515456 8883208752 11844278336 17766417504 23688556672 35532835008 71065670016