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10059561456405 = 3523193151078493
BaseRepresentation
bin1001001001100010110010…
…0101100101001100010101
31022121200111010121201212020
42102120230211211030111
52304303440213101110
633221144305443353
72055531211356246
oct222305445451425
938550433551766
1010059561456405
11322926620a85a
12116573a940559
1357c7c6a9a456
1426ac57666ccd
15126a13e1bd70
hex9262c965315

10059561456405 has 32 divisors (see below), whose sum is σ = 16882115233536. Its totient is φ = 5105244401664.

The previous prime is 10059561456397. The next prime is 10059561456407. The reversal of 10059561456405 is 50465416595001.

It is not a de Polignac number, because 10059561456405 - 23 = 10059561456397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10059561456407) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 75472662 + ... + 75605831.

It is an arithmetic number, because the mean of its divisors is an integer number (527566101048).

Almost surely, 210059561456405 is an apocalyptic number.

10059561456405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10059561456405 is a deficient number, since it is larger than the sum of its proper divisors (6822553777131).

10059561456405 is a wasteful number, since it uses less digits than its factorization.

10059561456405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151078717.

The product of its (nonzero) digits is 3240000, while the sum is 51.

The spelling of 10059561456405 in words is "ten trillion, fifty-nine billion, five hundred sixty-one million, four hundred fifty-six thousand, four hundred five".

Divisors: 1 3 5 15 23 69 115 193 345 579 965 2895 4439 13317 22195 66585 151078493 453235479 755392465 2266177395 3474805339 10424416017 17374026695 29158149149 52122080085 87474447447 145790745745 437372237235 670637430427 2011912291281 3353187152135 10059561456405