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165149001006 = 231117434437727
BaseRepresentation
bin1001100111001110100…
…1011100010100101110
3120210021111222111111220
42121303221130110232
510201211121013011
6203511324124210
714634355226643
oct2316351342456
9523244874456
10165149001006
116404833a8a0
1228010096666
131275bc37792
147dc96bddca
154468a27506
hex2673a5c52e

165149001006 has 128 divisors (see below), whose sum is σ = 391325147136. Its totient is φ = 45896148480.

The previous prime is 165149000987. The next prime is 165149001013. The reversal of 165149001006 is 600100941561.

It is a super-3 number, since 3×1651490010063 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21369115 + ... + 21376841.

It is an arithmetic number, because the mean of its divisors is an integer number (3057227712).

Almost surely, 2165149001006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165149001006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195662573568).

165149001006 is an abundant number, since it is smaller than the sum of its proper divisors (226176146130).

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

165149001006 is a wasteful number, since it uses less digits than its factorization.

165149001006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8246.

The product of its (nonzero) digits is 6480, while the sum is 33.

Adding to 165149001006 its reverse (600100941561), we get a palindrome (765249942567).

The spelling of 165149001006 in words is "one hundred sixty-five billion, one hundred forty-nine million, one thousand, six".

Divisors: 1 2 3 6 11 17 22 33 34 43 51 66 86 102 129 187 258 374 443 473 561 731 886 946 1122 1329 1419 1462 2193 2658 2838 4386 4873 7531 7727 8041 9746 14619 15062 15454 16082 19049 22593 23181 24123 29238 38098 45186 46362 48246 57147 82841 84997 114294 131359 165682 169994 209539 248523 254991 262718 323833 332261 394077 419078 497046 509982 628617 647666 664522 788154 971499 996783 1257234 1444949 1942998 1993566 2889898 3423061 3562163 3654871 4334847 5648437 6846122 7124326 7309742 8669694 10269183 10686489 10964613 11296874 16945311 20538366 21372978 21929226 33890622 37653671 58192037 62132807 75307342 112961013 116384074 124265614 147191623 174576111 186398421 225922026 294383246 349152222 372796842 441574869 640112407 883149738 1280224814 1619107853 1920337221 2502257591 3238215706 3840674442 4857323559 5004515182 7506772773 9714647118 15013545546 27524833501 55049667002 82574500503 165149001006