Search a number
-
+
2966632369173 = 32112341172318443
BaseRepresentation
bin101011001010111001000…
…100011000110000010101
3101111121101201012000001100
4223022321010120300111
5342101130341303143
610150504015220313
7424221626034414
oct53127104306025
911447351160040
102966632369173
11a441616a5880
123bab53217699
131869a1866455
14a382b50947b
15522801586d3
hex2b2b9118c15

2966632369173 has 96 divisors (see below), whose sum is σ = 5000086361088. Its totient is φ = 1676776147200.

The previous prime is 2966632369163. The next prime is 2966632369201. The reversal of 2966632369173 is 3719632366692.

It is a happy number.

It is not a de Polignac number, because 2966632369173 - 216 = 2966632303637 is a prime.

It is a super-2 number, since 2×29666323691732 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2966632369173.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2966632369163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160844890 + ... + 160863332.

It is an arithmetic number, because the mean of its divisors is an integer number (52084232928).

Almost surely, 22966632369173 is an apocalyptic number.

2966632369173 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2966632369173 is a deficient number, since it is larger than the sum of its proper divisors (2033453991915).

2966632369173 is a wasteful number, since it uses less digits than its factorization.

2966632369173 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20247 (or 20244 counting only the distinct ones).

The product of its digits is 79361856, while the sum is 63.

The spelling of 2966632369173 in words is "two trillion, nine hundred sixty-six billion, six hundred thirty-two million, three hundred sixty-nine thousand, one hundred seventy-three".

Divisors: 1 3 9 11 23 33 41 69 99 123 207 253 369 451 759 943 1353 1723 2277 2829 4059 5169 8487 10373 15507 18443 18953 31119 39629 55329 56859 70643 93357 118887 165987 170577 202873 211929 356661 424189 435919 608619 635787 756163 777073 1272567 1307757 1624789 1825857 2268489 2331219 3817701 3923271 4666079 4874367 6805467 6993657 8317793 13998237 14623101 17391749 17872679 24953379 31777289 41994711 52175247 53618037 74860137 95331867 156525741 160854111 191309239 285995601 349550179 573927717 730877647 1048650537 1302868849 1721783151 2192632941 3145951611 3908606547 6577898823 8039654117 11725819641 14331557339 24118962351 29965983527 42994672017 72356887053 89897950581 128984016051 269693851743 329625818797 988877456391 2966632369173