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2952252949338 = 2327115936102587
BaseRepresentation
bin101010111101011111111…
…111010000001101011010
3101110020021120202210022100
4222331133333100031122
5341332203223334323
610140125110304230
7423202403010540
oct52753777201532
911406246683270
102952252949338
11a39052908930
123b81bb658076
1318551c7704c4
14a2c658a7d90
1551bdca79943
hex2af5ffd035a

2952252949338 has 96 divisors (see below), whose sum is σ = 8110085368320. Its totient is φ = 753821995680.

The previous prime is 2952252949301. The next prime is 2952252949339. The reversal of 2952252949338 is 8339492522592.

2952252949338 is a `hidden beast` number, since 2 + 9 + 5 + 2 + 2 + 5 + 294 + 9 + 338 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2952252949339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17969520 + ... + 18133067.

It is an arithmetic number, because the mean of its divisors is an integer number (84480055920).

Almost surely, 22952252949338 is an apocalyptic number.

2952252949338 is an abundant number, since it is smaller than the sum of its proper divisors (5157832418982).

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

2952252949338 is a wasteful number, since it uses less digits than its factorization.

2952252949338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36102672 (or 36102669 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 2952252949338 in words is "two trillion, nine hundred fifty-two billion, two hundred fifty-two million, nine hundred forty-nine thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 59 63 66 77 99 118 126 154 177 198 231 354 413 462 531 649 693 826 1062 1239 1298 1386 1947 2478 3717 3894 4543 5841 7434 9086 11682 13629 27258 40887 81774 36102587 72205174 108307761 216615522 252718109 324923283 397128457 505436218 649846566 758154327 794256914 1191385371 1516308654 2130052633 2274462981 2382770742 2779899199 3574156113 4260105266 4548925962 5559798398 6390157899 7148312226 8339697597 12780315798 14910368431 16679395194 19170473697 23430578963 25019092791 29820736862 38340947394 44731105293 46861157926 50038185582 70291736889 89462210586 134193315879 140583473778 164014052741 210875210667 268386631758 328028105482 421750421334 492042158223 984084316446 1476126474669 2952252949338