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13321320036048 = 24321729187645369
BaseRepresentation
bin1100000111011001110010…
…0011000111011011010000
31202011111122200211121022100
43001312130203013123100
53221224030412123143
644155421400040400
72543301505010403
oct301663443073320
952144580747270
1013321320036048
1142765a39686a2
1215b1917163100
1375826c7c356b
14340a808a7d3a
151817b890d6d3
hexc1d9c8c76d0

13321320036048 has 120 divisors (see below), whose sum is σ = 40835385419400. Its totient is φ = 4035125993472.

The previous prime is 13321320036001. The next prime is 13321320036049. The reversal of 13321320036048 is 84063002312331.

13321320036048 is a `hidden beast` number, since 1 + 3 + 3 + 21 + 3 + 20 + 0 + 3 + 604 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2967392102544 + 10353927933504 = 1722612^2 + 3217752^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321320036049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93751693 + ... + 93893676.

It is an arithmetic number, because the mean of its divisors is an integer number (340294878495).

Almost surely, 213321320036048 is an apocalyptic number.

13321320036048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13321320036048 is an abundant number, since it is smaller than the sum of its proper divisors (27514065383352).

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

13321320036048 is a wasteful number, since it uses less digits than its factorization.

13321320036048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187645429 (or 187645420 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 13321320036048 its reverse (84063002312331), we get a palindrome (97384322348379).

The spelling of 13321320036048 in words is "thirteen trillion, three hundred twenty-one billion, three hundred twenty million, thirty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 34 36 48 51 58 68 72 87 102 116 136 144 153 174 204 232 261 272 306 348 408 464 493 522 612 696 816 986 1044 1224 1392 1479 1972 2088 2448 2958 3944 4176 4437 5916 7888 8874 11832 17748 23664 35496 70992 187645369 375290738 562936107 750581476 1125872214 1501162952 1688808321 2251744428 3002325904 3189971273 3377616642 4503488856 5441715701 6379942546 6755233284 9006977712 9569913819 10883431402 12759885092 13510466568 16325147103 19139827638 21766862804 25519770184 27020933136 28709741457 32650294206 38279655276 43533725608 48975441309 51039540368 57419482914 65300588412 76559310552 87067451216 92509166917 97950882618 114838965828 130601176824 153118621104 185018333834 195901765236 229677931656 261202353648 277527500751 370036667668 391803530472 459355863312 555055001502 740073335336 783607060944 832582502253 1110110003004 1480146670672 1665165004506 2220220006008 3330330009012 4440440012016 6660660018024 13321320036048