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80827667328 = 273307685631
BaseRepresentation
bin100101101000110110…
…1000101001110000000
321201122000111221010110
41023101231011032000
52311013340323303
6101044241231320
75560661556612
oct1132155051600
9251560457113
1080827667328
1131308124871
12137b9032540
137811753cb5
143caaa66db2
152180ead703
hex12d1b45380

80827667328 has 64 divisors (see below), whose sum is σ = 215398149120. Its totient is φ = 26854755840.

The previous prime is 80827667281. The next prime is 80827667351. The reversal of 80827667328 is 82376672808.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×808276673282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224928 + ... + 460703.

It is an arithmetic number, because the mean of its divisors is an integer number (3365596080).

Almost surely, 280827667328 is an apocalyptic number.

It is an amenable number.

80827667328 is an abundant number, since it is smaller than the sum of its proper divisors (134570481792).

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

80827667328 is a wasteful number, since it uses less digits than its factorization.

80827667328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685955 (or 685943 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 80827667328 in words is "eighty billion, eight hundred twenty-seven million, six hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 307 384 614 921 1228 1842 2456 3684 4912 7368 9824 14736 19648 29472 39296 58944 117888 685631 1371262 2056893 2742524 4113786 5485048 8227572 10970096 16455144 21940192 32910288 43880384 65820576 87760768 131641152 210488717 263282304 420977434 631466151 841954868 1262932302 1683909736 2525864604 3367819472 5051729208 6735638944 10103458416 13471277888 20206916832 26942555776 40413833664 80827667328