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6982956380484 = 2233722214158809
BaseRepresentation
bin110010110011101100010…
…1000100111000101000100
3220201120020020101101202000
41211213120220213011010
51403402043313133414
622503531553345300
71320334111614330
oct145473050470504
926646206341660
106982956380484
112252500916787
12949415b68230
133b864a5a2076
141a1d968407c0
15c19992acb09
hex659d8a27144

6982956380484 has 96 divisors (see below), whose sum is σ = 20699561836800. Its totient is φ = 1994231612160.

The previous prime is 6982956380471. The next prime is 6982956380489. The reversal of 6982956380484 is 4840836592896.

It is a happy number.

6982956380484 is a `hidden beast` number, since 6 + 9 + 8 + 2 + 9 + 5 + 63 + 80 + 484 = 666.

It is not an unprimeable number, because it can be changed into a prime (6982956380489) 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 31 ways as a sum of consecutive naturals, for example, 400329 + ... + 3758480.

It is an arithmetic number, because the mean of its divisors is an integer number (215620435800).

Almost surely, 26982956380484 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 6982956380484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10349780918400).

6982956380484 is an abundant number, since it is smaller than the sum of its proper divisors (13716605456316).

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

6982956380484 is a wasteful number, since it uses less digits than its factorization.

6982956380484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161050 (or 4161042 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 6982956380484 in words is "six trillion, nine hundred eighty-two billion, nine hundred fifty-six million, three hundred eighty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 2221 4442 6663 8884 13326 15547 19989 26652 31094 39978 46641 59967 62188 79956 93282 119934 139923 186564 239868 279846 419769 559692 839538 1679076 4158809 8317618 12476427 16635236 24952854 29111663 37429281 49905708 58223326 74858562 87334989 112287843 116446652 149717124 174669978 224575686 262004967 349339956 449151372 524009934 786014901 1048019868 1572029802 3144059604 9236714789 18473429578 27710144367 36946859156 55420288734 64657003523 83130433101 110840577468 129314007046 166260866202 193971010569 249391299303 258628014092 332521732404 387942021138 498782598606 581913031707 775884042276 997565197212 1163826063414 1745739095121 2327652126828 3491478190242 6982956380484