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20355000217745 = 5172411994673697
BaseRepresentation
bin1001010000011010001001…
…00011101011000010010001
32200001220210222000002021112
410220031010203223002101
510131444020023431440
6111142542532503105
74200412611052304
oct450150443530221
980056728002245
1020355000217745
116538563a72a46
122348b2847aa95
13b48611a8908b
14505289c0ab3b
15254730d85965
hex1283448eb091

20355000217745 has 96 divisors (see below), whose sum is σ = 26778217939200. Its totient is φ = 14841300418560.

The previous prime is 20355000217729. The next prime is 20355000217763. The reversal of 20355000217745 is 54771200055302.

It is not a de Polignac number, because 20355000217745 - 24 = 20355000217729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 95 ways as a sum of consecutive naturals, for example, 5505813737 + ... + 5505817433.

It is an arithmetic number, because the mean of its divisors is an integer number (278939770200).

Almost surely, 220355000217745 is an apocalyptic number.

It is an amenable number.

20355000217745 is a deficient number, since it is larger than the sum of its proper divisors (6423217721455).

20355000217745 is a wasteful number, since it uses less digits than its factorization.

20355000217745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 41.

The spelling of 20355000217745 in words is "twenty trillion, three hundred fifty-five billion, two hundred seventeen thousand, seven hundred forty-five".

Divisors: 1 5 17 41 85 199 205 289 467 697 995 1445 2335 3383 3485 3697 7939 8159 11849 16915 18485 19147 39695 40795 57511 59245 62849 92933 95735 134963 138703 151577 287555 314245 325499 464665 674815 693515 735703 757885 1068433 1579861 1627495 1726499 2357951 2576809 3678515 3810253 5342165 5533483 7899305 8632495 11789755 12506951 12884045 19051265 26857637 27667415 29350483 30163823 43805753 62534755 64774301 70786459 134288185 146752415 150819115 212618167 219028765 323871505 343573301 353932295 498958211 512784991 1063090835 1101163117 1203369803 1717866505 2494791055 2563924955 5505815585 5840746117 6016849015 8717344847 14086505341 20457286651 29203730585 43586724235 70432526705 99292683989 102286433255 239470590797 496463419945 1197352953985 4071000043549 20355000217745