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13553892385440 = 2535112567025073
BaseRepresentation
bin1100010100111100001011…
…1100001110001010100000
31202222201222001202002011120
43011033002330032022200
53234031332422313230
644454323332412240
72566144042242231
oct305170274161240
952881861662146
1013553892385440
11435619a9a2010
12162aa03177080
137741850b8c54
1434c0248b9088
1518787b729310
hexc53c2f0e2a0

13553892385440 has 96 divisors (see below), whose sum is σ = 46576102942656. Its totient is φ = 3285792092160.

The previous prime is 13553892385393. The next prime is 13553892385457. The reversal of 13553892385440 is 4458329835531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1283507257 + ... + 1283517816.

It is an arithmetic number, because the mean of its divisors is an integer number (485167738986).

Almost surely, 213553892385440 is an apocalyptic number.

13553892385440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13553892385440 is an abundant number, since it is smaller than the sum of its proper divisors (33022210557216).

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

13553892385440 is a wasteful number, since it uses less digits than its factorization.

13553892385440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567025102 (or 2567025094 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 60.

The spelling of 13553892385440 in words is "thirteen trillion, five hundred fifty-three billion, eight hundred ninety-two million, three hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 2567025073 5134050146 7701075219 10268100292 12835125365 15402150438 20536200584 25670250730 28237275803 30804300876 38505376095 41072401168 51340501460 56474551606 61608601752 77010752190 82144802336 84711827409 102681002920 112949103212 123217203504 141186379015 154021504380 169423654818 205362005840 225898206424 246434407008 282372758030 308043008760 338847309636 410724011680 423559137045 451796412848 564745516060 616086017520 677694619272 847118274090 903592825696 1129491032120 1232172035040 1355389238544 1694236548180 2258982064240 2710778477088 3388473096360 4517964128480 6776946192720 13553892385440