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78835137264 = 243213311358477
BaseRepresentation
bin100100101101011110…
…0001011101011110000
321112111011012220201200
41021122330023223300
52242423243343024
6100114422331200
75460415416222
oct1113274135360
9245434186650
1078835137264
113048541a504
1213341889b00
1375849c3a20
143b5c194412
1520b60c42c9
hex125af0baf0

78835137264 has 120 divisors (see below), whose sum is σ = 245265052032. Its totient is φ = 23474465280.

The previous prime is 78835137263. The next prime is 78835137301. The reversal of 78835137264 is 46273153887.

It is a happy number.

It is a super-4 number, since 4×788351372644 (a number of 45 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78835137264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78835137263) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 621207 + ... + 737270.

Almost surely, 278835137264 is an apocalyptic number.

It is an amenable number.

78835137264 is an abundant number, since it is smaller than the sum of its proper divisors (166429914768).

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

78835137264 is a wasteful number, since it uses less digits than its factorization.

78835137264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358535 (or 1358526 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 78835137264 in words is "seventy-eight billion, eight hundred thirty-five million, one hundred thirty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 208 234 248 279 312 372 403 468 496 558 624 744 806 936 1116 1209 1488 1612 1872 2232 2418 3224 3627 4464 4836 6448 7254 9672 14508 19344 29016 58032 1358477 2716954 4075431 5433908 8150862 10867816 12226293 16301724 17660201 21735632 24452586 32603448 35320402 42112787 48905172 52980603 65206896 70640804 84225574 97810344 105961206 126338361 141281608 158941809 168451148 195620688 211922412 252676722 282563216 317883618 336902296 379015083 423844824 505353444 547466231 635767236 673804592 758030166 847689648 1010706888 1094932462 1271534472 1516060332 1642398693 2021413776 2189864924 2543068944 3032120664 3284797386 4379729848 4927196079 6064241328 6569594772 8759459696 9854392158 13139189544 19708784316 26278379088 39417568632 78835137264