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5435023523808 = 2534331051312437
BaseRepresentation
bin100111100010111000010…
…1001010111111111100000
3201020120202010121211221110
41033011300221113333200
51203021412010230213
615320452040223320
71100444643463044
oct117056051277740
921216663554843
105435023523808
111805a870a775a
1273941646ab40
1330569c771598
1414b0b121a024
159659dc955c3
hex4f170a57fe0

5435023523808 has 96 divisors (see below), whose sum is σ = 14302395900576. Its totient is φ = 1807173255168.

The previous prime is 5435023523803. The next prime is 5435023523861. The reversal of 5435023523808 is 8083253205345.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5435023523803) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 436998166 + ... + 437010602.

It is an arithmetic number, because the mean of its divisors is an integer number (148983290631).

Almost surely, 25435023523808 is an apocalyptic number.

It is an amenable number.

5435023523808 is an abundant number, since it is smaller than the sum of its proper divisors (8867372376768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5435023523808 is a wasteful number, since it uses less digits than its factorization.

5435023523808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23396 (or 23388 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 5435023523808 in words is "five trillion, four hundred thirty-five billion, twenty-three million, five hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 433 866 1299 1732 2598 3464 5196 6928 10392 10513 12437 13856 20784 21026 24874 31539 37311 41568 42052 49748 63078 74622 84104 99496 126156 149244 168208 198992 252312 298488 336416 397984 504624 596976 1009248 1193952 4552129 5385221 9104258 10770442 13656387 16155663 18208516 21540884 27312774 32311326 36417032 43081768 54625548 64622652 72834064 86163536 109251096 129245304 130750181 145668128 172327072 218502192 258490608 261500362 392250543 437004384 516981216 523000724 784501086 1046001448 1569002172 2092002896 3138004344 4184005792 6276008688 12552017376 56614828373 113229656746 169844485119 226459313492 339688970238 452918626984 679377940476 905837253968 1358755880952 1811674507936 2717511761904 5435023523808