Search a number
-
+
1065342153636 = 223217732326657
BaseRepresentation
bin11111000000010110101…
…01110011001110100100
310202211211112012202100100
433200023111303032210
5114423310042404021
62133224511344100
7136653112615455
oct17401325631644
93684745182310
101065342153636
11380899966062
12152578b22030
13795cc721287
14397c45c512c
151caa2ea9626
hexf80b5733a4

1065342153636 has 108 divisors (see below), whose sum is σ = 2890960539012. Its totient is φ = 329645555712.

The previous prime is 1065342153607. The next prime is 1065342153649. The reversal of 1065342153636 is 6363512435601.

1065342153636 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 3 + 4 + 2 + 1 + 5 + 3 + 636 = 666.

1065342153636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 21892161600 + 1043449992036 = 147960^2 + 1021494^2 .

It is a super-2 number, since 2×10653421536362 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1065342153591 and 1065342153600.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3098020 + ... + 3424676.

It is an arithmetic number, because the mean of its divisors is an integer number (26768153139).

Almost surely, 21065342153636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1065342153636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445480269506).

1065342153636 is an abundant number, since it is smaller than the sum of its proper divisors (1825618385376).

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

1065342153636 is a wasteful number, since it uses less digits than its factorization.

1065342153636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326830 (or 326752 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 1065342153636 in words is "one trillion, sixty-five billion, three hundred forty-two million, one hundred fifty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 204 219 292 306 438 612 657 876 1241 1314 2482 2628 3723 4964 5329 7446 10658 11169 14892 15987 21316 22338 31974 44676 47961 63948 90593 95922 181186 191844 271779 326657 362372 543558 653314 815337 979971 1087116 1306628 1630674 1959942 2939913 3261348 3919884 5553169 5879826 11106338 11759652 16659507 22212676 23845961 33319014 47691922 49978521 66638028 71537883 95383844 99957042 143075766 199914084 214613649 286151532 405381337 429227298 810762674 858454596 1216144011 1621525348 1740755153 2432288022 3481510306 3648432033 4864576044 5222265459 6963020612 7296864066 10444530918 14593728132 15666796377 20889061836 29592837601 31333592754 59185675202 62667185508 88778512803 118371350404 177557025606 266335538409 355114051212 532671076818 1065342153636