Search a number
-
+
78666364026 = 233173117915443
BaseRepresentation
bin100100101000011100…
…0010111010001111010
321112001101122100101000
41021100320113101322
52242102042122101
6100045553105430
75453266030035
oct1112070272172
9245041570330
1078666364026
11303a9125698
12132b5258276
137558a50bc3
143b439c001c
1520a6387486
hex1250e1747a

78666364026 has 128 divisors (see below), whose sum is σ = 192148070400. Its totient is φ = 23748560640.

The previous prime is 78666364019. The next prime is 78666364027. The reversal of 78666364026 is 62046366687.

It is a super-2 number, since 2×786663640262 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (78666364027) 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 63 ways as a sum of consecutive naturals, for example, 5086261 + ... + 5101703.

It is an arithmetic number, because the mean of its divisors is an integer number (1501156800).

Almost surely, 278666364026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78666364026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96074035200).

78666364026 is an abundant number, since it is smaller than the sum of its proper divisors (113481706374).

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

78666364026 is a wasteful number, since it uses less digits than its factorization.

78666364026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15681 (or 15675 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 78666364026 in words is "seventy-eight billion, six hundred sixty-six million, three hundred sixty-four thousand, twenty-six".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 153 179 186 279 306 358 459 527 537 558 837 918 1054 1074 1581 1611 1674 3043 3162 3222 4743 4833 5549 6086 9129 9486 9666 11098 14229 15443 16647 18258 27387 28458 30886 33294 46329 49941 54774 82161 92658 94333 99882 138987 149823 164322 188666 262531 277974 282999 299646 416961 478733 525062 565998 787593 833922 848997 957466 1436199 1575186 1697994 2362779 2546991 2764297 2872398 4308597 4725558 5093982 5528594 7088337 8138461 8292891 8617194 12925791 14176674 16276922 16585782 24415383 24878673 25851582 46993049 48830766 49757346 73246149 74636019 85693207 93986098 140979147 146492298 149272038 171386414 219738447 257079621 281958294 422937441 439476894 514159242 771238863 845874882 1268812323 1456784519 1542477726 2313716589 2537624646 2913569038 4370353557 4627433178 8740707114 13111060671 26222121342 39333182013 78666364026