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13212455434400 = 2552163101322511
BaseRepresentation
bin1100000001000100001110…
…1101100111100010100000
31201210002122201212211200002
43000101003231213202200
53212433102042400100
644033415045515132
72532365651114255
oct300210355474240
951702581784602
1013212455434400
114234409710132
1215947b4712aa8
1374ac105bc501
143396b43d942c
1517da463402d5
hexc0443b678a0

13212455434400 has 72 divisors (see below), whose sum is σ = 32452790013504. Its totient is φ = 5252558918400.

The previous prime is 13212455434363. The next prime is 13212455434471. The reversal of 13212455434400 is 443455421231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50530856 + ... + 50791655.

It is an arithmetic number, because the mean of its divisors is an integer number (450733194632).

Almost surely, 213212455434400 is an apocalyptic number.

13212455434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13212455434400 is an abundant number, since it is smaller than the sum of its proper divisors (19240334579104).

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

13212455434400 is a wasteful number, since it uses less digits than its factorization.

13212455434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101322694 (or 101322681 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 13212455434400 in words is "thirteen trillion, two hundred twelve billion, four hundred fifty-five million, four hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 163 200 326 400 652 800 815 1304 1630 2608 3260 4075 5216 6520 8150 13040 16300 26080 32600 65200 130400 101322511 202645022 405290044 506612555 810580088 1013225110 1621160176 2026450220 2533062775 3242320352 4052900440 5066125550 8105800880 10132251100 16211601760 16515569293 20264502200 33031138586 40529004400 66062277172 81058008800 82577846465 132124554344 165155692930 264249108688 330311385860 412889232325 528498217376 660622771720 825778464650 1321245543440 1651556929300 2642491086880 3303113858600 6606227717200 13212455434400