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84085764880 = 24513372185181
BaseRepresentation
bin100111001001111100…
…1101111001100010000
322001001002012102202011
41032103321233030100
52334201423434010
6102343425432304
76034503131365
oct1162371571420
9261032172664
1084085764880
113272a249777
121436819b694
137c10754880
1440d965646c
1522c2035a8a
hex1393e6f310

84085764880 has 80 divisors (see below), whose sum is σ = 216228129264. Its totient is φ = 30207928320.

The previous prime is 84085764877. The next prime is 84085764881. The reversal of 84085764880 is 8846758048.

It can be written as a sum of positive squares in 8 ways, for example, as 122589184 + 83963175696 = 11072^2 + 289764^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (84085764881) 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, 1054111 + ... + 1131070.

Almost surely, 284085764880 is an apocalyptic number.

84085764880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84085764880 is an abundant number, since it is smaller than the sum of its proper divisors (132142364384).

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

84085764880 is a wasteful number, since it uses less digits than its factorization.

84085764880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185244 (or 2185238 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 58.

The spelling of 84085764880 in words is "eighty-four billion, eighty-five million, seven hundred sixty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 130 148 185 208 260 296 370 481 520 592 740 962 1040 1480 1924 2405 2960 3848 4810 7696 9620 19240 38480 2185181 4370362 8740724 10925905 17481448 21851810 28407353 34962896 43703620 56814706 80851697 87407240 113629412 142036765 161703394 174814480 227258824 284073530 323406788 404258485 454517648 568147060 646813576 808516970 1051072061 1136294120 1293627152 1617033940 2102144122 2272588240 3234067880 4204288244 5255360305 6468135760 8408576488 10510720610 16817152976 21021441220 42042882440 84085764880