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93436041282155 = 511132353107202443
BaseRepresentation
bin10101001111101011000110…
…000011001100001001101011
3110020211101202100221202102022
4111033223012003030021223
544221324003032012110
6530415531431055055
725452350130465305
oct2517530603141153
9406741670852368
1093436041282155
1127854003481a30
12a59064521148b
134019c9a011b10
1419104856a0975
15ac0744b82755
hex54fac60cc26b

93436041282155 has 64 divisors (see below), whose sum is σ = 140045842363392. Its totient is φ = 58867004951040.

The previous prime is 93436041282071. The next prime is 93436041282193. The reversal of 93436041282155 is 55128214063439.

It is a happy number.

It is not a de Polignac number, because 93436041282155 - 222 = 93436037087851 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 93436041282097 and 93436041282106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52729637 + ... + 54472806.

It is an arithmetic number, because the mean of its divisors is an integer number (2188216286928).

Almost surely, 293436041282155 is an apocalyptic number.

93436041282155 is a deficient number, since it is larger than the sum of its proper divisors (46609801081237).

93436041282155 is a wasteful number, since it uses less digits than its factorization.

93436041282155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107202548.

The product of its (nonzero) digits is 6220800, while the sum is 53.

The spelling of 93436041282155 in words is "ninety-three trillion, four hundred thirty-six billion, forty-one million, two hundred eighty-two thousand, one hundred fifty-five".

Divisors: 1 5 11 13 23 53 55 65 115 143 253 265 299 583 689 715 1219 1265 1495 2915 3289 3445 6095 7579 13409 15847 16445 37895 67045 79235 174317 871585 107202443 536012215 1179226873 1393631759 2465656189 5681729479 5896134365 6968158795 12328280945 15329949349 27122218079 28408647395 32053530457 62499024269 73862483227 76649746745 130679778017 135611090395 160267652285 312495121345 352588835027 369312416135 653398890085 812487315497 1437477558187 1698837114221 1762944175135 4062436577485 7187387790935 8494185571105 18687208256431 93436041282155