Search a number
-
+
165155100656064 = 26311314951088841
BaseRepresentation
bin100101100011010100101011…
…000110111000000111000000
3210122202200011221001212021020
4211203110223012320013000
5133121400121231443224
61343131112243025440
746534030232645601
oct4543245306700700
9718680157055236
10165155100656064
1148694980810322
12166341b906b280
13712009cca9a0c
142cad799c65da8
1514160e335dc79
hex96352b1b81c0

165155100656064 has 112 divisors (see below), whose sum is σ = 443798552685600. Its totient is φ = 54198311157760.

The previous prime is 165155100655921. The next prime is 165155100656069. The reversal of 165155100656064 is 460656001551561.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 165155100655998 and 165155100656016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165155100656069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22311717 + ... + 28777124.

It is an arithmetic number, because the mean of its divisors is an integer number (3962487077550).

Almost surely, 2165155100656064 is an apocalyptic number.

It is an amenable number.

165155100656064 is an abundant number, since it is smaller than the sum of its proper divisors (278643452029536).

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

165155100656064 is a wasteful number, since it uses less digits than its factorization.

165155100656064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51089118 (or 51089108 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 51.

The spelling of 165155100656064 in words is "one hundred sixty-five trillion, one hundred fifty-five billion, one hundred million, six hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 149 192 226 298 339 447 452 596 678 894 904 1192 1356 1788 1808 2384 2712 3576 3616 4768 5424 7152 7232 9536 10848 14304 16837 21696 28608 33674 50511 67348 101022 134696 202044 269392 404088 538784 808176 1077568 1616352 3232704 51088841 102177682 153266523 204355364 306533046 408710728 613066092 817421456 1226132184 1634842912 2452264368 3269685824 4904528736 5773039033 7612237309 9809057472 11546078066 15224474618 17319117099 22836711927 23092156132 30448949236 34638234198 45673423854 46184312264 60897898472 69276468396 91346847708 92368624528 121795796944 138552936792 182693695416 184737249056 243591593888 277105873584 365387390832 369474498112 487183187776 554211747168 730774781664 860182815917 1108423494336 1461549563328 1720365631834 2580548447751 3440731263668 5161096895502 6881462527336 10322193791004 13762925054672 20644387582008 27525850109344 41288775164016 55051700218688 82577550328032 165155100656064