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52923248235 = 3551113223431
BaseRepresentation
bin110001010010011110…
…001010111001101011
312001121022102120100000
4301102132022321223
51331341322420420
640151304514043
73552326121234
oct612236127153
9161538376300
1052923248235
1120498880790
12a30ba7b923
134cb5590500
1427c0a7808b
15159b327690
hexc5278ae6b

52923248235 has 144 divisors (see below), whose sum is σ = 112381371648. Its totient is φ = 23684918400.

The previous prime is 52923248113. The next prime is 52923248243. The reversal of 52923248235 is 53284232925.

52923248235 is a `hidden beast` number, since 5 + 2 + 92 + 324 + 8 + 235 = 666.

It is not a de Polignac number, because 52923248235 - 218 = 52922986091 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2246970 + ... + 2270400.

It is an arithmetic number, because the mean of its divisors is an integer number (780426192).

Almost surely, 252923248235 is an apocalyptic number.

52923248235 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

52923248235 is an abundant number, since it is smaller than the sum of its proper divisors (59458123413).

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

52923248235 is a wasteful number, since it uses less digits than its factorization.

52923248235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23488 (or 23463 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 52923248235 in words is "fifty-two billion, nine hundred twenty-three million, two hundred forty-eight thousand, two hundred thirty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 81 99 117 135 143 165 169 195 243 297 351 405 429 495 507 585 715 845 891 1053 1215 1287 1485 1521 1755 1859 2145 2535 2673 3159 3861 4455 4563 5265 5577 6435 7605 9295 11583 13365 13689 15795 16731 19305 22815 23431 27885 34749 41067 50193 57915 68445 70293 83655 117155 150579 173745 205335 210879 250965 257741 304603 351465 451737 632637 752895 773223 913809 1054395 1288705 1523015 1897911 2258685 2319669 2741427 3163185 3350633 3866115 3959839 4569045 5693733 6959007 8224281 9489555 10051899 11598345 11879517 13707135 16753165 19799195 20877021 24672843 28468665 30155697 34795035 35638551 41121405 43558229 50259495 59397585 62631063 74018529 90467091 104385105 106915653 123364215 130674687 150778485 178192755 217791145 271401273 313155315 320746959 370092645 392024061 452335455 534578265 653373435 814203819 962240877 1176072183 1357006365 1603734795 1960120305 3528216549 4071019095 4811204385 5880360915 10584649647 17641082745 52923248235