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4785340684878 = 232131391409104417
BaseRepresentation
bin100010110100010110010…
…0010000001101001001110
3121221110210121202002000200
41011220230202001221032
51111400334203404003
614102204414234330
71002505126455105
oct105505442015116
917843717662020
104785340684878
1115854a70769a6
12653520ab59a6
132893429a0340
1412787c80503c
15847273316a3
hex45a2c881a4e

4785340684878 has 96 divisors (see below), whose sum is σ = 11254213807200. Its totient is φ = 1460768145408.

The previous prime is 4785340684871. The next prime is 4785340684879. The reversal of 4785340684878 is 8784860435874.

4785340684878 is a `hidden beast` number, since 4 + 7 + 8 + 534 + 0 + 6 + 8 + 4 + 87 + 8 = 666.

It is a super-3 number, since 3×47853406848783 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4785340684871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45776926 + ... + 45881342.

It is an arithmetic number, because the mean of its divisors is an integer number (117231393825).

Almost surely, 24785340684878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4785340684878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627106903600).

4785340684878 is an abundant number, since it is smaller than the sum of its proper divisors (6468873122322).

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

4785340684878 is a wasteful number, since it uses less digits than its factorization.

4785340684878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105986 (or 105983 counting only the distinct ones).

The product of its (nonzero) digits is 1156055040, while the sum is 72.

The spelling of 4785340684878 in words is "four trillion, seven hundred eighty-five billion, three hundred forty million, six hundred eighty-four thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 139 234 278 417 834 1251 1409 1807 2502 2818 3614 4227 5421 8454 10842 12681 16263 18317 25362 32526 36634 54951 104417 109902 164853 195851 208834 313251 329706 391702 587553 626502 939753 1175106 1357421 1762659 1879506 2546063 2714842 3525318 4072263 5092126 7638189 8144526 12216789 14513963 15276378 22914567 24433578 29027926 43541889 45829134 87083778 130625667 147123553 188681519 261251334 294247106 377363038 441370659 566044557 882741318 1132089114 1324111977 1698133671 1912606189 2648223954 3396267342 3825212378 5737818567 11475637134 17213455701 20450173867 34426911402 40900347734 61350521601 122701043202 184051564803 265852260271 368103129606 531704520542 797556780813 1595113561626 2392670342439 4785340684878