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80688088608 = 25331263103091
BaseRepresentation
bin100101100100101100…
…0101000011000100000
321201021021212121010020
41023021120220120200
52310222122313413
6101022333433440
75554345302561
oct1131130503040
9251237777106
1080688088608
1131246360256
121377a33b880
1377bb86363a
143c962d2168
152173adbc23
hex12c9628620

80688088608 has 96 divisors (see below), whose sum is σ = 219472146432. Its totient is φ = 25929196800.

The previous prime is 80688088597. The next prime is 80688088631.

80688088608 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 731143 + ... + 834233.

It is an arithmetic number, because the mean of its divisors is an integer number (2286168192).

Almost surely, 280688088608 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 80688088608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109736073216).

80688088608 is an abundant number, since it is smaller than the sum of its proper divisors (138784057824).

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

80688088608 is a wasteful number, since it uses less digits than its factorization.

80688088608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103398 (or 103390 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 60.

The spelling of 80688088608 in words is "eighty billion, six hundred eighty-eight million, eighty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 263 372 496 526 744 789 992 1052 1488 1578 2104 2976 3156 4208 6312 8153 8416 12624 16306 24459 25248 32612 48918 65224 97836 103091 130448 195672 206182 260896 309273 391344 412364 618546 782688 824728 1237092 1649456 2474184 3195821 3298912 4948368 6391642 9587463 9896736 12783284 19174926 25566568 27112933 38349852 51133136 54225866 76699704 81338799 102266272 108451732 153399408 162677598 216903464 306798816 325355196 433806928 650710392 840500923 867613856 1301420784 1681001846 2521502769 2602841568 3362003692 5043005538 6724007384 10086011076 13448014768 20172022152 26896029536 40344044304 80688088608