Search a number
-
+
165420756436 = 221324123472543
BaseRepresentation
bin1001101000001111011…
…0000110110111010100
3120210222110100002212211
42122003312012313110
510202240203201221
6203554312523204
714644165141555
oct2320366066724
9523873302784
10165420756436
1164177782761
12280870b0504
13127a3326600
14801382032c
1544828076e1
hex2683d86dd4

165420756436 has 72 divisors (see below), whose sum is σ = 321376132224. Its totient is φ = 74424879360.

The previous prime is 165420756401. The next prime is 165420756437. The reversal of 165420756436 is 634657024561.

165420756436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 165420756436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165420756437) 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 23 ways as a sum of consecutive naturals, for example, 65048181 + ... + 65050723.

It is an arithmetic number, because the mean of its divisors is an integer number (4463557392).

Almost surely, 2165420756436 is an apocalyptic number.

It is an amenable number.

165420756436 is a deficient number, since it is larger than the sum of its proper divisors (155955375788).

165420756436 is a wasteful number, since it uses less digits than its factorization.

165420756436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961 (or 4946 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

The spelling of 165420756436 in words is "one hundred sixty-five billion, four hundred twenty million, seven hundred fifty-six thousand, four hundred thirty-six".

Divisors: 1 2 4 13 26 41 52 82 164 169 338 533 676 1066 2132 2347 2543 4694 5086 6929 9388 10172 13858 27716 30511 33059 61022 66118 96227 104263 122044 132236 192454 208526 384908 396643 417052 429767 793286 859534 1250951 1355419 1586572 1719068 2501902 2710838 5003804 5421676 5968421 11936842 16262363 17620447 23873684 32524726 35240894 65049452 70481788 77589473 155178946 244705261 310357892 489410522 978821044 1008663149 2017326298 3181168393 4034652596 6362336786 12724673572 41355189109 82710378218 165420756436