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6980308973344 = 257151239863479
BaseRepresentation
bin110010110010011101011…
…0101100011011100100000
3220201022101201211011212201
41211210322311203130200
51403331133044121334
622502413142302544
71320211364205220
oct145447265433440
926638351734781
106980308973344
1122513724915a3
129489b7427a54
133b8317c70c75
141a1bc4dbc080
15c1891b65c14
hex6593ad63720

6980308973344 has 96 divisors (see below), whose sum is σ = 15875874201600. Its totient is φ = 2959311801600.

The previous prime is 6980308973321. The next prime is 6980308973347. The reversal of 6980308973344 is 4433798030896.

It is not an unprimeable number, because it can be changed into a prime (6980308973347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7652197 + ... + 8515675.

It is an arithmetic number, because the mean of its divisors is an integer number (165373689600).

Almost surely, 26980308973344 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 6980308973344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7937937100800).

6980308973344 is an abundant number, since it is smaller than the sum of its proper divisors (8895565228256).

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

6980308973344 is a wasteful number, since it uses less digits than its factorization.

6980308973344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863886 (or 863878 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 64.

The spelling of 6980308973344 in words is "six trillion, nine hundred eighty billion, three hundred eight million, nine hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 151 224 239 302 478 604 956 1057 1208 1673 1912 2114 2416 3346 3824 4228 4832 6692 7648 8456 13384 16912 26768 33824 36089 53536 72178 144356 252623 288712 505246 577424 863479 1010492 1154848 1726958 2020984 3453916 4041968 6044353 6907832 8083936 12088706 13815664 24177412 27631328 48354824 96709648 130385329 193419296 206371481 260770658 412742962 521541316 825485924 912697303 1043082632 1444600367 1650971848 1825394606 2086165264 2889200734 3301943696 3650789212 4172330528 5778401468 6603887392 7301578424 11556802936 14603156848 23113605872 29206313696 31162093631 46227211744 62324187262 124648374524 218134655417 249296749048 436269310834 498593498096 872538621668 997186996192 1745077243336 3490154486672 6980308973344