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13306654352256 = 273334310365763
BaseRepresentation
bin1100000110100011001001…
…1001111110001110000000
31202010002210121202200020120
43001220302121332032000
53221004012003233011
644144554223340240
72542242204523656
oct301506231761600
952102717680216
1013306654352256
114270358529371
1215aab03751680
13756a732cba65
1434008cc2add6
1518120b135a06
hexc1a3267e380

13306654352256 has 64 divisors (see below), whose sum is σ = 35356377112320. Its totient is φ = 4434224205312.

The previous prime is 13306654352231. The next prime is 13306654352269. The reversal of 13306654352256 is 65225345660331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 13306654352199 and 13306654352208.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3899170 + ... + 6466593.

It is an arithmetic number, because the mean of its divisors is an integer number (552443392380).

Almost surely, 213306654352256 is an apocalyptic number.

13306654352256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13306654352256 is an abundant number, since it is smaller than the sum of its proper divisors (22049722760064).

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

13306654352256 is a wasteful number, since it uses less digits than its factorization.

13306654352256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10369123 (or 10369111 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 51.

The spelling of 13306654352256 in words is "thirteen trillion, three hundred six billion, six hundred fifty-four million, three hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 3343 6686 10029 13372 20058 26744 40116 53488 80232 106976 160464 213952 320928 427904 641856 1283712 10365763 20731526 31097289 41463052 62194578 82926104 124389156 165852208 248778312 331704416 497556624 663408832 995113248 1326817664 1990226496 3980452992 34652745709 69305491418 103958237127 138610982836 207916474254 277221965672 415832948508 554443931344 831665897016 1108887862688 1663331794032 2217775725376 3326663588064 4435551450752 6653327176128 13306654352256