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13418491372608 = 263719525473503
BaseRepresentation
bin1100001101000011110001…
…1010010110010001000000
31202111210110201211221210110
43003100330122112101000
53224322032242410413
644312211515031320
72553311503516620
oct303207432262100
952453421757713
1013418491372608
114303828619013
12160871573b540
1376448727b24a
1434565bda2880
151840a464a8c3
hexc343c696440

13418491372608 has 112 divisors (see below), whose sum is σ = 42710486405120. Its totient is φ = 3632072845824.

The previous prime is 13418491372603. The next prime is 13418491372619. The reversal of 13418491372608 is 80627319481431.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×134184913726083 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (13418491372603) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 262711216 + ... + 262762287.

Almost surely, 213418491372608 is an apocalyptic number.

It is an amenable number.

13418491372608 is an abundant number, since it is smaller than the sum of its proper divisors (29291995032512).

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

13418491372608 is a wasteful number, since it uses less digits than its factorization.

13418491372608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525473544 (or 525473534 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 13418491372608 in words is "thirteen trillion, four hundred eighteen billion, four hundred ninety-one million, three hundred seventy-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 6384 8512 12768 25536 525473503 1050947006 1576420509 2101894012 3152841018 3678314521 4203788024 6305682036 7356629042 8407576048 9983996557 11034943563 12611364072 14713258084 16815152096 19967993114 22069887126 25222728144 29426516168 29951989671 33630304192 39935986228 44139774252 50445456288 58853032336 59903979342 69887975899 79871972456 88279548504 100890912576 117706064672 119807958684 139775951798 159743944912 176559097008 209663927697 235412129344 239615917368 279551903596 319487889824 353118194016 419327855394 479231834736 559103807192 638975779648 706236388032 838655710788 958463669472 1118207614384 1677311421576 1916927338944 2236415228768 3354622843152 4472830457536 6709245686304 13418491372608