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104536114113405 = 3513259941742757
BaseRepresentation
bin10111110001001100110101…
…111100101010101101111101
3111201010112222112021222200010
4113301030311330222231331
5102200204430203112110
61010155121114453433
731006325234005302
oct2761146574525575
9451115875258603
10104536114113405
1130343576191157
12b883971134279
134643937065a00
141bb58098150a9
15c14356b61020
hex5f1335f2ab7d

104536114113405 has 96 divisors (see below), whose sum is σ = 184379156046720. Its totient is φ = 50537831285760.

The previous prime is 104536114113373. The next prime is 104536114113407. The reversal of 104536114113405 is 504311411635401.

It is not a de Polignac number, because 104536114113405 - 25 = 104536114113373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104536114113407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140369287 + ... + 141112043.

It is an arithmetic number, because the mean of its divisors is an integer number (1920616208820).

Almost surely, 2104536114113405 is an apocalyptic number.

104536114113405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104536114113405 is a deficient number, since it is larger than the sum of its proper divisors (79843041933315).

104536114113405 is a wasteful number, since it uses less digits than its factorization.

104536114113405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743791 (or 743778 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

Adding to 104536114113405 its reverse (504311411635401), we get a palindrome (608847525748806).

The spelling of 104536114113405 in words is "one hundred four trillion, five hundred thirty-six billion, one hundred fourteen million, one hundred thirteen thousand, four hundred five".

Divisors: 1 3 5 13 15 39 59 65 169 177 195 295 507 767 845 885 941 2301 2535 2823 3835 4705 9971 11505 12233 14115 29913 36699 49855 55519 61165 149565 159029 166557 183495 277595 477087 721747 742757 795145 832785 2165241 2228271 2385435 3608735 3713785 9382711 9655841 10826205 11141355 28148133 28967523 43822663 46913555 48279205 125525933 131467989 140740665 144837615 219113315 376577799 569694619 627629665 657339945 698934337 1709083857 1882888995 2096803011 2848473095 3494671685 7406030047 8545419285 9086146381 10484015055 22218090141 27258439143 37030150235 41237125883 45430731905 111090450705 118119902953 123711377649 136292195715 206185629415 354359708859 536082636479 590599514765 618556888245 1608247909437 1771798544295 2680413182395 6969074274227 8041239547185 20907222822681 34845371371135 104536114113405