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76364233616 = 24114773126461
BaseRepresentation
bin100011100011110101…
…0011011101110010000
321022002221210000010202
41013013222123232100
52222343220433431
655025314314332
75342243163416
oct1070752335620
9238087700122
1076364233616
112a427689a80
12129722889a8
13727cb11168
1439a5d592b6
151ebe1e48cb
hex11c7a9bb90

76364233616 has 80 divisors (see below), whose sum is σ = 167099804928. Its totient is φ = 33506841600.

The previous prime is 76364233609. The next prime is 76364233619. The reversal of 76364233616 is 61633246367.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (76364233619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540626 + ... + 667086.

Almost surely, 276364233616 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 76364233616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83549902464).

76364233616 is an abundant number, since it is smaller than the sum of its proper divisors (90735571312).

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

76364233616 is a wasteful number, since it uses less digits than its factorization.

76364233616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126600 (or 126594 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 47.

The spelling of 76364233616 in words is "seventy-six billion, three hundred sixty-four million, two hundred thirty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 47 73 88 94 146 176 188 292 376 517 584 752 803 1034 1168 1606 2068 3212 3431 4136 6424 6862 8272 12848 13724 27448 37741 54896 75482 126461 150964 252922 301928 505844 603856 1011688 1391071 2023376 2782142 5564284 5943667 9231653 11128568 11887334 18463306 22257136 23774668 36926612 47549336 65380337 73853224 95098672 101548183 130760674 147706448 203096366 261521348 406192732 433887691 523042696 812385464 867775382 1046085392 1624770928 1735550764 3471101528 4772764601 6942203056 9545529202 19091058404 38182116808 76364233616