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13365307335401 = 719616136314259
BaseRepresentation
bin1100001001111101101001…
…1001010110001011101001
31202022201012020200221020122
43002133122121112023221
53222434122134213101
644231534252333025
72546416526616560
oct302373231261351
952281166627218
1013365307335401
11429321661575a
1215ba352474175
1375c45c96b648
14342c54840bd7
151829e04ac51b
hexc27da6562e9

13365307335401 has 64 divisors (see below), whose sum is σ = 16398598041600. Its totient is φ = 10638309830400.

The previous prime is 13365307335379. The next prime is 13365307335409. The reversal of 13365307335401 is 10453370356331.

It is not a de Polignac number, because 13365307335401 - 222 = 13365303141097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13365307335409) 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 63 ways as a sum of consecutive naturals, for example, 3138130610 + ... + 3138134868.

It is an arithmetic number, because the mean of its divisors is an integer number (256228094400).

Almost surely, 213365307335401 is an apocalyptic number.

It is an amenable number.

13365307335401 is a deficient number, since it is larger than the sum of its proper divisors (3033290706199).

13365307335401 is a wasteful number, since it uses less digits than its factorization.

13365307335401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5590.

The product of its (nonzero) digits is 1020600, while the sum is 44.

The spelling of 13365307335401 in words is "thirteen trillion, three hundred sixty-five billion, three hundred seven million, three hundred thirty-five thousand, four hundred one".

Divisors: 1 7 19 61 133 427 613 631 1159 4259 4291 4417 8113 11647 11989 29813 37393 38491 80921 81529 83923 259799 261751 269437 386803 566447 710467 731329 1818593 2610767 2687429 2707621 4936181 4973269 5119303 7349257 18275369 18812003 23594983 34553267 49604573 51061151 51444799 159256787 163933169 165164881 347232011 357428057 448304677 1114797509 1147532183 1647393977 3025878953 3114730211 3138132739 11531757839 21181152671 21803111477 31300485563 100491032597 219103398941 703437228179 1909329619343 13365307335401