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78106038528 = 283779183907
BaseRepresentation
bin100100010111101111…
…0111001000100000000
321110121100021212021210
41020233132321010000
52234430121213103
655514215250120
75433353242020
oct1105736710400
9243540255253
1078106038528
1130140905871
1213179679940
13749993695b
143acd403a80
1520720a4e03
hex122f7b9100

78106038528 has 144 divisors (see below), whose sum is σ = 240581089280. Its totient is φ = 22033410048.

The previous prime is 78106038503. The next prime is 78106038533. The reversal of 78106038528 is 82583060187.

It is a super-2 number, since 2×781060385282 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332751 + ... + 516657.

Almost surely, 278106038528 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 78106038528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120290544640).

78106038528 is an abundant number, since it is smaller than the sum of its proper divisors (162475050752).

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

78106038528 is a wasteful number, since it uses less digits than its factorization.

78106038528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184012 (or 183998 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 78106038528 in words is "seventy-eight billion, one hundred six million, thirty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 158 168 192 224 237 256 316 336 384 448 474 553 632 672 768 896 948 1106 1264 1344 1659 1792 1896 2212 2528 2688 3318 3792 4424 5056 5376 6636 7584 8848 10112 13272 15168 17696 20224 26544 30336 35392 53088 60672 70784 106176 141568 183907 212352 367814 424704 551721 735628 1103442 1287349 1471256 2206884 2574698 2942512 3862047 4413768 5149396 5885024 7724094 8827536 10298792 11770048 14528653 15448188 17655072 20597584 23540096 29057306 30896376 35310144 41195168 43585959 47080192 58114612 61792752 70620288 82390336 87171918 101700571 116229224 123585504 141240576 164780672 174343836 203401142 232458448 247171008 305101713 329561344 348687672 406802284 464916896 494342016 610203426 697375344 813604568 929833792 988684032 1220406852 1394750688 1627209136 1859667584 2440813704 2789501376 3254418272 3719335168 4881627408 5579002752 6508836544 9763254816 11158005504 13017673088 19526509632 26035346176 39053019264 78106038528