Search a number
-
+
16617161704 = 231113294710657
BaseRepresentation
bin11110111100111010…
…11100001111101000
31120220002010021111111
433132131130033220
5233012443133304
611344523240104
71125534354403
oct173635341750
946802107444
1016617161704
117057a555a0
123279079034
13174a8b0380
14b38d04d3a
15673ca3704
hex3de75c3e8

16617161704 has 128 divisors (see below), whose sum is σ = 38675750400. Its totient is φ = 6587965440.

The previous prime is 16617161629. The next prime is 16617161747. The reversal of 16617161704 is 40716171661.

It is a happy number.

It is a super-2 number, since 2×166171617042 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1553944 + ... + 1564600.

It is an arithmetic number, because the mean of its divisors is an integer number (302154300).

Almost surely, 216617161704 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 16617161704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19337875200).

16617161704 is an abundant number, since it is smaller than the sum of its proper divisors (22058588696).

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

16617161704 is a wasteful number, since it uses less digits than its factorization.

16617161704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10763 (or 10759 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 16617161704 in words is "sixteen billion, six hundred seventeen million, one hundred sixty-one thousand, seven hundred four".

Divisors: 1 2 4 8 11 13 22 26 29 44 47 52 58 88 94 104 116 143 188 232 286 319 376 377 517 572 611 638 754 1034 1144 1222 1276 1363 1508 2068 2444 2552 2726 3016 4136 4147 4888 5452 6721 8294 10657 10904 13442 14993 16588 17719 21314 26884 29986 33176 35438 42628 53768 59972 70876 85256 117227 119944 138541 141752 194909 234454 277082 309053 389818 468908 500879 554164 618106 779636 937816 1001758 1108328 1236212 1523951 1559272 2003516 2472424 3047902 3399583 4007032 4017689 5509669 6095804 6511427 6799166 8035378 11019338 12191608 13022854 13598332 14525491 16070756 22038676 26045708 27196664 29050982 32141512 44077352 44194579 52091416 58101964 71625697 88389158 116203928 143251394 159780401 176778316 188831383 286502788 319560802 353556632 377662766 573005576 639121604 755325532 1278243208 1510651064 2077145213 4154290426 8308580852 16617161704