Search a number
-
+
78450601060116 = 2232192910338397677
BaseRepresentation
bin10001110101100110110100…
…001101010110011100010100
3101021202210201021101201202100
4101311212310031112130110
540240313312332410431
6434503413020042100
722344604012332015
oct2165466415263424
9337683637351670
1078450601060116
1122aa67931060aa
128970303693330
1334a0b2438618c
14155305a77900c
15910a308764e6
hex4759b4356714

78450601060116 has 144 divisors (see below), whose sum is σ = 218037374755200. Its totient is φ = 23687372733696.

The previous prime is 78450601060079. The next prime is 78450601060163. The reversal of 78450601060116 is 61106010605487.

78450601060116 is a `hidden beast` number, since 7 + 84 + 506 + 0 + 1 + 0 + 60 + 1 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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, 17155731 + ... + 21241946.

It is an arithmetic number, because the mean of its divisors is an integer number (1514148435800).

Almost surely, 278450601060116 is an apocalyptic number.

78450601060116 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

78450601060116 is an abundant number, since it is smaller than the sum of its proper divisors (139586773695084).

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

78450601060116 is a wasteful number, since it uses less digits than its factorization.

78450601060116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38397838 (or 38397833 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 78450601060116 in words is "seventy-eight trillion, four hundred fifty billion, six hundred one million, sixty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 103 114 116 171 174 206 228 261 309 342 348 412 522 551 618 684 927 1044 1102 1236 1653 1854 1957 2204 2987 3306 3708 3914 4959 5871 5974 6612 7828 8961 9918 11742 11948 17613 17922 19836 23484 26883 35226 35844 53766 56753 70452 107532 113506 170259 227012 340518 510777 681036 1021554 2043108 38397677 76795354 115193031 153590708 230386062 345579093 460772124 691158186 729555863 1113532633 1382316372 1459111726 2188667589 2227065266 2918223452 3340597899 3954960731 4377335178 4454130532 6566002767 6681195798 7909921462 8754670356 10021793697 11864882193 13132005534 13362391596 15819842924 20043587394 21157120027 23729764386 26264011068 35594646579 40087174788 42314240054 47459528772 63471360081 71189293158 75144253889 84628480108 114693861199 126942720162 142378586316 150288507778 190414080243 225432761667 229387722398 253885440324 300577015556 344081583597 380828160486 450865523334 458775444796 676298285001 688163167194 761656320972 901731046668 1032244750791 1352596570002 1376326334388 2064489501582 2179183362781 2705193140004 4128979003164 4358366725562 6537550088343 8716733451124 13075100176686 19612650265029 26150200353372 39225300530058 78450601060116