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7680417102306 = 235131215640567
BaseRepresentation
bin110111111000011110010…
…0010000111100111100010
31000012020111110210002200000
41233300330202013213202
52001313443234233211
624200200201240430
71421614616131434
oct157607442074742
930166443702600
107680417102306
1124a1279254073
12a40624193116
1343934c939730
141c7a3c7cc654
15d4bba47b656
hex6fc3c8879e2

7680417102306 has 48 divisors (see below), whose sum is σ = 18584713003584. Its totient is φ = 2363205260304.

The previous prime is 7680417102289. The next prime is 7680417102361. The reversal of 7680417102306 is 6032017140867.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607813966 + ... + 607826601.

It is an arithmetic number, because the mean of its divisors is an integer number (387181520908).

Almost surely, 27680417102306 is an apocalyptic number.

7680417102306 is an abundant number, since it is smaller than the sum of its proper divisors (10904295901278).

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

7680417102306 is a wasteful number, since it uses less digits than its factorization.

7680417102306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215640597 (or 1215640585 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 7680417102306 in words is "seven trillion, six hundred eighty billion, four hundred seventeen million, one hundred two thousand, three hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1053 2106 3159 6318 1215640567 2431281134 3646921701 7293843402 10940765103 15803327371 21881530206 31606654742 32822295309 47409982113 65644590618 94819964226 98466885927 142229946339 196933771854 284459892678 295400657781 426689839017 590801315562 853379678034 1280069517051 2560139034102 3840208551153 7680417102306