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78882133434 = 23132418921319
BaseRepresentation
bin100100101110110111…
…1011101010110111010
321112121102122120100120
41021131233131112322
52243022311232214
6100123221514110
75461526033256
oct1113557352672
9245542576316
1078882133434
11304a99a9415
1213355572936
137591669b00
143b64509266
1520ba2a8ea9
hex125dbdd5ba

78882133434 has 96 divisors (see below), whose sum is σ = 176974761600. Its totient is φ = 23412280320.

The previous prime is 78882133409. The next prime is 78882133439. The reversal of 78882133434 is 43433128887.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (78882133439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3689427 + ... + 3710745.

It is an arithmetic number, because the mean of its divisors is an integer number (1843487100).

Almost surely, 278882133434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78882133434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88487380800).

78882133434 is an abundant number, since it is smaller than the sum of its proper divisors (98092628166).

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

78882133434 is a wasteful number, since it uses less digits than its factorization.

78882133434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21480 (or 21467 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The spelling of 78882133434 in words is "seventy-eight billion, eight hundred eighty-two million, one hundred thirty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 41 78 82 89 123 169 178 246 267 338 507 533 534 1014 1066 1157 1599 2314 3198 3471 3649 6929 6942 7298 10947 13858 15041 20787 21319 21894 30082 41574 42638 45123 47437 63957 90246 94874 127914 142311 277147 284622 554294 616681 831441 874079 1233362 1662882 1748158 1850043 1897391 2622237 3602911 3700086 3794782 5244474 5692173 7205822 10808733 11363027 11384346 21617466 22726054 24666083 34089081 49332166 68178162 73998249 77793031 147719351 147996498 155586062 233379093 295438702 320659079 443158053 466758186 641318158 886316106 961977237 1011309403 1923954474 2022618806 3033928209 6067856418 13147022239 26294044478 39441066717 78882133434