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133852807881 = 34132532592
BaseRepresentation
bin111110010101000111…
…1111100001011001001
3110210111102200011110000
41330222033330023021
54143112304323011
6141254030113213
712445666044252
oct1745217741311
9423442604400
10133852807881
1151848469781
1221b3704b809
13c81216b400
14669b065b29
153736211356
hex1f2a3fc2c9

133852807881 has 135 divisors (see below), whose sum is σ = 224483143269. Its totient is φ = 79447013568.

The previous prime is 133852807861. The next prime is 133852807897. The reversal of 133852807881 is 188708258331.

The square root of 133852807881 is 365859.

It is a perfect power (a square), and thus also a powerful number.

133852807881 is a `hidden beast` number, since 1 + 3 + 38 + 528 + 0 + 7 + 8 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3474041481 + 130378766400 = 58941^2 + 361080^2 .

It is not a de Polignac number, because 133852807881 - 25 = 133852807849 is a prime.

It is a super-2 number, since 2×1338528078812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133852807801) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2268691630 + ... + 2268691688.

Almost surely, 2133852807881 is an apocalyptic number.

133852807881 is the 365859-th square number.

133852807881 is the 182930-th centered octagonal number.

It is an amenable number.

133852807881 is a deficient number, since it is larger than the sum of its proper divisors (90630335388).

133852807881 is an frugal number, since it uses more digits than its factorization.

133852807881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 133852807881 in words is "one hundred thirty-three billion, eight hundred fifty-two million, eight hundred seven thousand, eight hundred eighty-one".

Divisors: 1 3 9 13 27 39 53 59 81 117 159 169 177 351 477 507 531 689 767 1053 1431 1521 1593 2067 2301 2809 3127 3481 4293 4563 4779 6201 6903 8427 8957 9381 9971 10443 13689 18603 20709 25281 26871 28143 29913 31329 36517 40651 45253 55809 62127 75843 80613 84429 89739 93987 109551 121953 135759 165731 184493 227529 241839 253287 269217 281961 328653 365859 407277 474721 497193 528463 553479 588289 725517 807651 985959 1097577 1221831 1424163 1491579 1585389 1660437 1764867 2154503 2398409 2957877 3292731 3665493 4272489 4474737 4756167 4981311 5294601 6463509 7195227 9778129 12817467 13424211 14268501 14943933 15883803 19390527 21585681 28008539 29334387 31179317 38452401 42805503 47651409 58171581 64757043 84025617 88003161 93537951 127115677 174514743 194271129 252076851 264009483 280613853 381347031 756230553 792028449 841841559 1144041093 1652503801 2268691659 2525524677 3432123279 4957511403 10296369837 14872534209 44617602627 133852807881