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16505397135 = 35543431733
BaseRepresentation
bin11110101111100110…
…00101111110001111
31120121021211001100000
433113303011332033
5232300340202020
611325451535343
71123006363233
oct172763057617
946537731300
1016505397135
116aaa959187
12324775a553
1317306aaaa6
14b281305c3
15669078090
hex3d7cc5f8f

16505397135 has 96 divisors (see below), whose sum is σ = 30470888448. Its totient is φ = 8566508160.

The previous prime is 16505397133. The next prime is 16505397143. The reversal of 16505397135 is 53179350561.

16505397135 is a `hidden beast` number, since 1 + 6 + 505 + 3 + 9 + 7 + 135 = 666.

It is not a de Polignac number, because 16505397135 - 21 = 16505397133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16505397131) 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 95 ways as a sum of consecutive naturals, for example, 22517229 + ... + 22517961.

It is an arithmetic number, because the mean of its divisors is an integer number (317405088).

Almost surely, 216505397135 is an apocalyptic number.

16505397135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16505397135 is a deficient number, since it is larger than the sum of its proper divisors (13965491313).

16505397135 is an equidigital number, since it uses as much as digits as its factorization.

16505397135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The spelling of 16505397135 in words is "sixteen billion, five hundred five million, three hundred ninety-seven thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 43 45 81 129 135 215 243 387 405 431 645 733 1161 1215 1293 1935 2155 2199 3483 3665 3879 5805 6465 6597 10449 10995 11637 17415 18533 19395 19791 31519 32985 34911 52245 55599 58185 59373 92665 94557 98955 104733 157595 166797 174555 178119 277995 283671 296865 315923 472785 500391 523665 833985 851013 890595 947769 1418355 1501173 1579615 2501955 2553039 2843307 4255065 4503519 4738845 7505865 7659117 8529921 12765195 13584689 14216535 22517595 25589763 38295585 40754067 42649605 67923445 76769289 122262201 127948815 203770335 366786603 383846445 611311005 1100359809 1833933015 3301079427 5501799045 16505397135