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780645032916 = 223723161702077
BaseRepresentation
bin10110101110000100001…
…00011110001111010100
32202121222111100112112220
423113002010132033110
5100242230112023131
61354342352142340
7110254053203400
oct13270204361724
92677874315486
10780645032916
11281084851531
121073645379b0
13587cb106c28
1429ad79ca100
151548dedbe96
hexb5c211e3d4

780645032916 has 144 divisors (see below), whose sum is σ = 2223104712192. Its totient is φ = 212307782400.

The previous prime is 780645032891. The next prime is 780645032929. The reversal of 780645032916 is 619230546087.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 760870 + ... + 1462946.

It is an arithmetic number, because the mean of its divisors is an integer number (15438227168).

It is a 1-persistent number, because it is pandigital, but 2⋅780645032916 = 1561290065832 is not.

Almost surely, 2780645032916 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 780645032916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111552356096).

780645032916 is an abundant number, since it is smaller than the sum of its proper divisors (1442459679276).

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

780645032916 is a wasteful number, since it uses less digits than its factorization.

780645032916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702190 (or 702181 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 780645032916 in words is "seven hundred eighty billion, six hundred forty-five million, thirty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 61 62 84 93 98 122 124 147 183 186 196 217 244 294 366 372 427 434 588 651 732 854 868 1281 1302 1519 1708 1891 2562 2604 2989 3038 3782 4557 5124 5673 5978 6076 7564 8967 9114 11346 11956 13237 17934 18228 22692 26474 35868 39711 52948 79422 92659 158844 185318 277977 370636 555954 702077 1111908 1404154 2106231 2808308 4212462 4914539 8424924 9829078 14743617 19658156 21764387 29487234 34401773 42826697 43528774 58974468 65293161 68803546 85653394 87057548 103205319 128480091 130586322 137607092 152350709 171306788 206410638 256960182 261172644 299786879 304701418 412821276 457052127 513920364 599573758 609402836 899360637 914104254 1066454963 1199147516 1327627607 1798721274 1828208508 2098508153 2132909926 2655255214 3199364889 3597442548 3982882821 4197016306 4265819852 5310510428 6295524459 6398729778 7965765642 8394032612 9293393249 12591048918 12797459556 15931531284 18586786498 25182097836 27880179747 37173572996 55760359494 65053752743 111520718988 130107505486 195161258229 260215010972 390322516458 780645032916