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78059089752 = 23372307216211
BaseRepresentation
bin100100010110010101…
…1110010111101011000
321110111001221121200020
41020230223302331120
52234331111333002
655505421110440
75432243213100
oct1105453627530
9243431847606
1078059089752
1130117359526
12131659b8420
13748cca9307
143ac70a2200
15206cdce2bc
hex122caf2f58

78059089752 has 96 divisors (see below), whose sum is σ = 227749072320. Its totient is φ = 22229847360.

The previous prime is 78059089751. The next prime is 78059089777. The reversal of 78059089752 is 25798095087.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78059089751) 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 23 ways as a sum of consecutive naturals, for example, 252927 + ... + 469137.

It is an arithmetic number, because the mean of its divisors is an integer number (2372386170).

Almost surely, 278059089752 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 78059089752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113874536160).

78059089752 is an abundant number, since it is smaller than the sum of its proper divisors (149689982568).

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

78059089752 is a wasteful number, since it uses less digits than its factorization.

78059089752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216541 (or 216530 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 60.

The spelling of 78059089752 in words is "seventy-eight billion, fifty-nine million, eighty-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 307 392 588 614 921 1176 1228 1842 2149 2456 3684 4298 6447 7368 8596 12894 15043 17192 25788 30086 45129 51576 60172 90258 120344 180516 216211 361032 432422 648633 864844 1297266 1513477 1729688 2594532 3026954 4540431 5189064 6053908 9080862 10594339 12107816 18161724 21188678 31783017 36323448 42377356 63566034 66376777 84754712 127132068 132753554 199130331 254264136 265507108 398260662 464637439 531014216 796521324 929274878 1393912317 1593042648 1858549756 2787824634 3252462073 3717099512 5575649268 6504924146 9757386219 11151298536 13009848292 19514772438 26019696584 39029544876 78059089752