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12698921556324 = 22332318128244681
BaseRepresentation
bin1011100011001011001010…
…1101010101100101100100
31122222000010200021212221000
42320302302231111211210
53131024342404300244
643001445400353300
72450316054143253
oct270626255254544
948860120255830
1012698921556324
114056645181833
121511177175830
137116705b5773
1431c8b999679a
151704dc49e169
hexb8cb2b55964

12698921556324 has 96 divisors (see below), whose sum is σ = 34544375873280. Its totient is φ = 4026561580800.

The previous prime is 12698921556317. The next prime is 12698921556383. The reversal of 12698921556324 is 42365512989621.

12698921556324 is a `hidden beast` number, since 1 + 2 + 6 + 98 + 9 + 215 + 5 + 6 + 324 = 666.

12698921556324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126989215563242 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13672737 + ... + 14571944.

It is an arithmetic number, because the mean of its divisors is an integer number (359837248680).

Almost surely, 212698921556324 is an apocalyptic number.

It is an amenable number.

12698921556324 is an abundant number, since it is smaller than the sum of its proper divisors (21845454316956).

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

12698921556324 is a wasteful number, since it uses less digits than its factorization.

12698921556324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28244898 (or 28244890 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 12698921556324 in words is "twelve trillion, six hundred ninety-eight billion, nine hundred twenty-one million, five hundred fifty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 181 207 276 362 414 543 621 724 828 1086 1242 1629 2172 2484 3258 4163 4887 6516 8326 9774 12489 16652 19548 24978 37467 49956 74934 112401 149868 224802 449604 28244681 56489362 84734043 112978724 169468086 254202129 338936172 508404258 649627663 762606387 1016808516 1299255326 1525212774 1948882989 2598510652 3050425548 3897765978 5112287261 5846648967 7795531956 10224574522 11693297934 15336861783 17539946901 20449149044 23386595868 30673723566 35079893802 46010585349 61347447132 70159787604 92021170698 117582607003 138031756047 184042341396 235165214006 276063512094 352747821009 470330428012 552127024188 705495642018 1058243463027 1410991284036 2116486926054 3174730389081 4232973852108 6349460778162 12698921556324