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235212406252145 = 571789271129712637
BaseRepresentation
bin110101011110110010100111…
…111010111110001001110001
31010211211002100000021112111022
4311132302213322332021301
5221312210002000032040
62152131030540225225
7100354351461101420
oct6536624772761161
91124732300245438
10235212406252145
1168a45026399a03
12224698a6b3b215
13a13258616634a
1442124ac3a72b7
151c2d633c7a6b5
hexd5eca7ebe271

235212406252145 has 128 divisors (see below), whose sum is σ = 346959033569280. Its totient is φ = 149414339543040.

The previous prime is 235212406252097. The next prime is 235212406252151. The reversal of 235212406252145 is 541252604212532.

It is not a de Polignac number, because 235212406252145 - 226 = 235212339143281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 235212406252096 and 235212406252105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18612987767 + ... + 18613000403.

It is an arithmetic number, because the mean of its divisors is an integer number (2710617449760).

Almost surely, 2235212406252145 is an apocalyptic number.

It is an amenable number.

235212406252145 is a deficient number, since it is larger than the sum of its proper divisors (111746627317135).

235212406252145 is a wasteful number, since it uses less digits than its factorization.

235212406252145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14323.

The product of its (nonzero) digits is 1152000, while the sum is 44.

The spelling of 235212406252145 in words is "two hundred thirty-five trillion, two hundred twelve billion, four hundred six million, two hundred fifty-two thousand, one hundred forty-five".

Divisors: 1 5 7 17 35 85 89 119 271 445 595 623 1297 1355 1513 1897 3115 4607 6485 7565 9079 9485 10591 12637 22049 23035 24119 32249 45395 52955 63185 88459 110245 115433 120595 154343 161245 168833 214829 351487 410023 442295 577165 771715 808031 844165 1074145 1124693 1503803 1757435 1962361 2050115 2460409 2870161 3424627 4040155 5623465 5975279 7519015 7872851 9811805 12302045 13736527 14350805 16390189 17123135 19119781 23972389 29876395 31282343 39364255 41826953 58218659 68682635 81950945 95598905 114731323 119861945 133838467 156411715 209134765 218976401 278633213 291093295 304791803 407530613 531799831 573656615 669192335 1094882005 1393166065 1458726821 1523959015 1950432491 2037653065 2133542621 2658999155 3722598817 4441741219 5181460651 7293634105 9752162455 10211087747 10667713105 18612994085 22208706095 24798355957 25907303255 31092188533 36270224557 51055438735 75509600723 123991779785 155460942665 173588491699 181351122785 377548003615 395314968491 528567205061 867942458495 1976574842455 2642836025305 2767204779437 6720354464347 13836023897185 33601772321735 47042481250429 235212406252145