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77253206380 = 225723104922871
BaseRepresentation
bin100011111110010100…
…1100110000101101100
321101101220112111111221
41013330221212011230
52231203310101010
655253432153124
75403256263640
oct1077451460554
9241356474457
1077253206380
112a84346a409
1212b7bb387a4
13739204654c
143a4c044c20
152022293dda
hex11fca6616c

77253206380 has 96 divisors (see below), whose sum is σ = 193661798400. Its totient is φ = 25309954560.

The previous prime is 77253206353. The next prime is 77253206399. The reversal of 77253206380 is 8360235277.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3366345 + ... + 3389215.

It is an arithmetic number, because the mean of its divisors is an integer number (2017310400).

Almost surely, 277253206380 is an apocalyptic number.

77253206380 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77253206380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96830899200).

77253206380 is an abundant number, since it is smaller than the sum of its proper divisors (116408592020).

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

77253206380 is a wasteful number, since it uses less digits than its factorization.

77253206380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23959 (or 23957 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 77253206380 in words is "seventy-seven billion, two hundred fifty-three million, two hundred six thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1049 1610 2098 3220 4196 5245 7343 10490 14686 20980 22871 24127 29372 36715 45742 48254 73430 91484 96508 114355 120635 146860 160097 168889 228710 241270 320194 337778 457420 482540 526033 640388 675556 800485 844445 1052066 1600970 1688890 2104132 2630165 3201940 3377780 3682231 5260330 7364462 10520660 14728924 18411155 23991679 36822310 47983358 73644620 95966716 119958395 167941753 239916790 335883506 479833580 551808617 671767012 839708765 1103617234 1679417530 2207234468 2759043085 3358835060 3862660319 5518086170 7725320638 11036172340 15450641276 19313301595 38626603190 77253206380