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13642565341300 = 2252733589580231
BaseRepresentation
bin1100011010000110100001…
…0000101101000001110100
31210022012211211112221221221
43012201220100231001310
53242004433211410200
645003150305520124
72605433326030360
oct306415020550164
953265754487857
1013642565341300
11438a863524205
12164402b643044
1377c646cc47bc
143524374562a0
15189d1b32291a
hexc686842d074

13642565341300 has 72 divisors (see below), whose sum is σ = 33834627639680. Its totient is φ = 4677303657600.

The previous prime is 13642565341291. The next prime is 13642565341313. The reversal of 13642565341300 is 314356524631.

It is a super-2 number, since 2×136425653413002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 23222185 + ... + 23802415.

Almost surely, 213642565341300 is an apocalyptic number.

13642565341300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13642565341300 is an abundant number, since it is smaller than the sum of its proper divisors (20192062298380).

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

13642565341300 is a wasteful number, since it uses less digits than its factorization.

13642565341300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613841 (or 613834 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 13642565341300 in words is "thirteen trillion, six hundred forty-two billion, five hundred sixty-five million, three hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 33589 67178 134356 167945 235123 335890 470246 580231 671780 839725 940492 1160462 1175615 1679450 2320924 2351230 2901155 3358900 4061617 4702460 5802310 5878075 8123234 11604620 11756150 14505775 16246468 20308085 23512300 29011550 40616170 58023100 81232340 101540425 203080850 406161700 19489379059 38978758118 77957516236 97446895295 136425653413 194893790590 272851306826 389787581180 487234476475 545702613652 682128267065 974468952950 1364256534130 1948937905900 2728513068260 3410641335325 6821282670650 13642565341300