Search a number
-
+
6780683356872 = 23323891237111577
BaseRepresentation
bin110001010101100000000…
…1110010000101011001000
3220000020010111000011000220
41202223000032100223020
51342043314414404442
622231000344430040
71266613440362325
oct142530016205310
926006114004026
106780683356872
112184742a8a277
12916185178320
133a2553394709
14196288913b4c
15bb5ab4e4eec
hex62ac0390ac8

6780683356872 has 128 divisors (see below), whose sum is σ = 17902109894400. Its totient is φ = 2135918112768.

The previous prime is 6780683356871. The next prime is 6780683356873. The reversal of 6780683356872 is 2786533860876.

It is an interprime number because it is at equal distance from previous prime (6780683356871) and next prime (6780683356873).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 6780683356797 and 6780683356806.

It is not an unprimeable number, because it can be changed into a prime (6780683356871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60715548 + ... + 60827124.

It is an arithmetic number, because the mean of its divisors is an integer number (139860233550).

Almost surely, 26780683356872 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 6780683356872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951054947200).

6780683356872 is an abundant number, since it is smaller than the sum of its proper divisors (11121426537528).

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

6780683356872 is a wasteful number, since it uses less digits than its factorization.

6780683356872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112935 (or 112931 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 69.

The spelling of 6780683356872 in words is "six trillion, seven hundred eighty billion, six hundred eighty-three million, three hundred fifty-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 89 92 138 178 184 267 276 356 534 552 712 1068 1237 2047 2136 2474 3711 4094 4948 6141 7422 8188 9896 12282 14844 16376 24564 28451 29688 49128 56902 85353 110093 111577 113804 170706 220186 223154 227608 330279 334731 341412 440372 446308 660558 669462 682824 880744 892616 1321116 1338924 2532139 2566271 2642232 2677848 5064278 5132542 7596417 7698813 9930353 10128556 10265084 15192834 15397626 19860706 20257112 20530168 29791059 30385668 30795252 39721412 59582118 60771336 61590504 79442824 119164236 138020749 228398119 238328472 276041498 414062247 456796238 552082996 685194357 828124494 913592476 1104165992 1370388714 1656248988 1827184952 2740777428 3174477227 3312497976 5481554856 6348954454 9523431681 12283846661 12697908908 19046863362 24567693322 25395817816 36851539983 38093726724 49135386644 73703079966 76187453448 98270773288 147406159932 282528473203 294812319864 565056946406 847585419609 1130113892812 1695170839218 2260227785624 3390341678436 6780683356872