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42132052204515 = 3357134418977611
BaseRepresentation
bin10011001010001101000100…
…00000010101101111100011
312112011210012011021220021000
421211012202000111233203
521010242420331021030
6225335110402203043
711605640346546510
oct1145064200255743
9175153164256230
1042132052204515
11124741150a8679
124885583053483
131a6805cc28650
14a592b8bdc307
154d0e40cd3860
hex2651a2015be3

42132052204515 has 128 divisors (see below), whose sum is σ = 92189644646400. Its totient is φ = 17778168645120.

The previous prime is 42132052204337. The next prime is 42132052204591. The reversal of 42132052204515 is 51540225023124.

42132052204515 is a `hidden beast` number, since 4 + 2 + 132 + 0 + 5 + 2 + 2 + 0 + 4 + 515 = 666.

It is not a de Polignac number, because 42132052204515 - 29 = 42132052204003 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42132052204515.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 542823060 + ... + 542900670.

It is an arithmetic number, because the mean of its divisors is an integer number (720231598800).

Almost surely, 242132052204515 is an apocalyptic number.

42132052204515 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42132052204515 is an abundant number, since it is smaller than the sum of its proper divisors (50057592441885).

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

42132052204515 is a wasteful number, since it uses less digits than its factorization.

42132052204515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121834 (or 121828 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 42132052204515 its reverse (51540225023124), we get a palindrome (93672277227639).

The spelling of 42132052204515 in words is "forty-two trillion, one hundred thirty-two billion, fifty-two million, two hundred four thousand, five hundred fifteen".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1365 1755 2457 4095 12285 44189 77611 132567 220945 232833 309323 388055 397701 543277 574457 662835 698499 927969 1008943 1164165 1193103 1546615 1629831 1723371 1988505 2095497 2716385 2783907 2872285 3026829 3492495 4021199 4639845 4889493 5044715 5170113 5965515 7062601 8149155 8351721 8616855 9080487 10477485 12063597 13919535 14668479 15134145 15510339 20105995 21187803 24447465 25850565 27241461 35313005 36190791 41758605 45402435 60317985 63563409 73342395 77551695 105939015 108572373 136207305 180953955 190690227 317817045 542861865 953451135 3429552479 10288657437 17147762395 24006867353 30865972311 44584182227 51443287185 72020602059 92597916933 120034336765 133752546681 154329861555 216061806177 222920911135 312089275589 360103010295 401257640043 462989584665 648185418531 668762733405 936267826767 1080309030885 1203772920129 1560446377945 2006288200215 2808803480301 3240927092655 4681339133835 6018864600645 8426410440903 14044017401505 42132052204515