Search a number
-
+
137659269066 = 231110966128949
BaseRepresentation
bin1000000000110100100…
…0011011111111001010
3111011022201012102112220
42000031020123333022
54223411233102231
6143123443514510
712642216323604
oct2001510337712
9434281172486
10137659269066
1153421083370
1222819988a36
13cc9a9586c7
14693c7da174
1538aa4a6896
hex200d21bfca

137659269066 has 64 divisors (see below), whose sum is σ = 303572016000. Its totient is φ = 41268268800.

The previous prime is 137659269043. The next prime is 137659269103. The reversal of 137659269066 is 660962956731.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4740760 + ... + 4769708.

It is an arithmetic number, because the mean of its divisors is an integer number (4743312750).

Almost surely, 2137659269066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137659269066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151786008000).

137659269066 is an abundant number, since it is smaller than the sum of its proper divisors (165912746934).

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

137659269066 is a wasteful number, since it uses less digits than its factorization.

137659269066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29735.

The product of its (nonzero) digits is 22044960, while the sum is 60.

The spelling of 137659269066 in words is "one hundred thirty-seven billion, six hundred fifty-nine million, two hundred sixty-nine thousand, sixty-six".

Divisors: 1 2 3 6 11 22 33 66 109 218 327 654 661 1199 1322 1983 2398 3597 3966 7194 7271 14542 21813 28949 43626 57898 72049 86847 144098 173694 216147 318439 432294 636878 792539 955317 1585078 1910634 2377617 3155441 4755234 6310882 9466323 18932646 19135289 34709851 38270578 57405867 69419702 104129553 114811734 208259106 210488179 420976358 631464537 1262929074 2085746501 4171493002 6257239503 12514479006 22943211511 45886423022 68829634533 137659269066