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6768504714256 = 241979748737643
BaseRepresentation
bin110001001111110101001…
…0100011011010000010000
3212222001200201202000002021
41202133222110123100100
51341343344201324011
622221224054101224
71266002566542535
oct142375224332020
925861621660067
106768504714256
11217a56350287a
1291394664a814
133a1362212acc
141958512b2d8c
15bb0e7238471
hex627ea51b410

6768504714256 has 80 divisors (see below), whose sum is σ = 13981162291200. Its totient is φ = 3165042950784.

The previous prime is 6768504714241. The next prime is 6768504714277. The reversal of 6768504714256 is 6524174058676.

It is a junction number, because it is equal to n+sod(n) for n = 6768504714194 and 6768504714203.

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 15 ways as a sum of consecutive naturals, for example, 179788971 + ... + 179826613.

It is an arithmetic number, because the mean of its divisors is an integer number (174764528640).

Almost surely, 26768504714256 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 6768504714256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990581145600).

6768504714256 is an abundant number, since it is smaller than the sum of its proper divisors (7212657576944).

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

6768504714256 is a wasteful number, since it uses less digits than its factorization.

6768504714256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45236 (or 45230 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 61.

The spelling of 6768504714256 in words is "six trillion, seven hundred sixty-eight billion, five hundred four million, seven hundred fourteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 38 76 79 152 158 304 316 632 1264 1501 3002 6004 7487 12008 14974 24016 29948 37643 59896 75286 119792 142253 150572 284506 301144 569012 591473 602288 715217 1138024 1182946 1430434 2276048 2365892 2860868 2973797 4731784 5721736 5947594 9463568 11237987 11443472 11895188 22475974 23790376 44951948 47580752 56502143 89903896 113004286 179807792 226008572 281833141 452017144 563666282 904034288 1127332564 2254665128 4509330256 5354829679 10709659358 21419318716 22264818139 42838637432 44529636278 85677274864 89059272556 178118545112 356237090224 423031544641 846063089282 1692126178564 3384252357128 6768504714256