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13374617578896 = 243739805409461
BaseRepresentation
bin1100001010100000010101…
…0101000110110110010000
31202100121020002120022022210
43002220011111012312100
53223112204100011041
644240114155232120
72550166330442610
oct302500525066620
952317202508283
1013374617578896
114297163a47472
121600110448640
137602b4795072
14343499134a40
15182d87a1d016
hexc2a05546d90

13374617578896 has 40 divisors (see below), whose sum is σ = 39486966186304. Its totient is φ = 3821319308160.

The previous prime is 13374617578837. The next prime is 13374617578997. The reversal of 13374617578896 is 69887571647331.

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 7 ways as a sum of consecutive naturals, for example, 19902704395 + ... + 19902705066.

Almost surely, 213374617578896 is an apocalyptic number.

13374617578896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13374617578896 is an abundant number, since it is smaller than the sum of its proper divisors (26112348607408).

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

13374617578896 is a wasteful number, since it uses less digits than its factorization.

13374617578896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39805409479 (or 39805409473 counting only the distinct ones).

The product of its digits is 1280240640, while the sum is 75.

The spelling of 13374617578896 in words is "thirteen trillion, three hundred seventy-four billion, six hundred seventeen million, five hundred seventy-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 39805409461 79610818922 119416228383 159221637844 238832456766 278637866227 318443275688 477664913532 557275732454 636886551376 835913598681 955329827064 1114551464908 1671827197362 1910659654128 2229102929816 3343654394724 4458205859632 6687308789448 13374617578896