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13542005435 = 57172331137233
BaseRepresentation
bin11001001110010101…
…01001101010111011
31021221202200011010212
430213022221222323
5210213223133220
610115432101335
7656404101260
oct144712515273
937852604125
1013542005435
11581a122132
12275b23484b
13137a77338a
14926737267
15543d160c5
hex3272a9abb

13542005435 has 128 divisors (see below), whose sum is σ = 21427421184. Its totient is φ = 7996538880.

The previous prime is 13542005431. The next prime is 13542005447. The reversal of 13542005435 is 53450024531.

It is a happy number.

It is not a de Polignac number, because 13542005435 - 22 = 13542005431 is a prime.

It is a super-2 number, since 2×135420054352 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13542005431) 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 127 ways as a sum of consecutive naturals, for example, 58120079 + ... + 58120311.

It is an arithmetic number, because the mean of its divisors is an integer number (167401728).

Almost surely, 213542005435 is an apocalyptic number.

13542005435 is a deficient number, since it is larger than the sum of its proper divisors (7885415749).

13542005435 is a wasteful number, since it uses less digits than its factorization.

13542005435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453.

The product of its (nonzero) digits is 36000, while the sum is 32.

Adding to 13542005435 its reverse (53450024531), we get a palindrome (66992029966).

The spelling of 13542005435 in words is "thirteen billion, five hundred forty-two million, five thousand, four hundred thirty-five".

Divisors: 1 5 7 17 23 31 35 85 115 119 137 155 161 217 233 391 527 595 685 713 805 959 1085 1165 1631 1955 2329 2635 2737 3151 3565 3689 3961 4247 4795 4991 5359 7223 8155 11645 12121 13685 15755 16303 18445 19805 21235 22057 24955 26795 27727 29729 31921 36115 37513 50561 53567 60605 72199 81515 84847 91103 97681 110285 122791 138635 148645 159605 166129 187565 223447 252805 267835 360995 374969 424235 455515 488405 505393 542657 613955 637721 683767 734183 830645 859537 989551 1117235 1162903 1660577 1874845 2526965 2713285 2824193 3188605 3418835 3670915 3798599 4297685 4947755 5139281 5814515 6926857 8302885 11624039 12481111 14120965 16822367 18992995 19769351 22759673 25696405 34634285 58120195 62405555 84111835 87367777 98846755 113798365 117756569 159317711 386914441 436838885 588782845 796588555 1934572205 2708401087 13542005435