Search a number
-
+
550364334345405 = 33537647734923173
BaseRepresentation
bin111110100100011011010111…
…0101001010100110010111101
32200011200022112202002022012000
41331020312232221110302331
51034114132124043023110
65230305515040332513
7223632340160416536
oct17510665651246275
92604608482068160
10550364334345405
1114a3aa226851058
1251888366014139
131a813198628a68
1499c9ac116368d
15439638cc3a1c0
hex1f48daea54cbd

550364334345405 has 128 divisors (see below), whose sum is σ = 1006602920064000. Its totient is φ = 285101946657792.

The previous prime is 550364334345383. The next prime is 550364334345521. The reversal of 550364334345405 is 504543433463055.

It is a happy number.

550364334345405 is a `hidden beast` number, since 5 + 5 + 0 + 3 + 64 + 3 + 3 + 4 + 34 + 540 + 5 = 666.

It is not a de Polignac number, because 550364334345405 - 25 = 550364334345373 is a prime.

It is a super-2 number, since 2×5503643343454052 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 23750229399 + ... + 23750252571.

It is an arithmetic number, because the mean of its divisors is an integer number (7864085313000).

Almost surely, 2550364334345405 is an apocalyptic number.

It is an amenable number.

550364334345405 is a deficient number, since it is larger than the sum of its proper divisors (456238585718595).

550364334345405 is a wasteful number, since it uses less digits than its factorization.

550364334345405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31220 (or 31214 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 54.

The spelling of 550364334345405 in words is "five hundred fifty trillion, three hundred sixty-four billion, three hundred thirty-four million, three hundred forty-five thousand, four hundred five".

Divisors: 1 3 5 9 15 27 37 45 111 135 185 333 555 647 999 1665 1941 3235 4995 5823 7349 9705 17469 22047 23173 23939 29115 36745 66141 69519 71817 87345 110235 115865 119695 198423 208557 215451 271913 330705 347595 359085 625671 646353 815739 857401 992115 1042785 1077255 1359565 2447217 2572203 3128355 3231765 4078695 4287005 4754803 7341651 7716609 12236085 12861015 14264409 14992931 23149827 23774015 36708255 38583045 42793227 44978793 71322045 74964655 115749135 128379681 134936379 170298377 175927711 213966135 224893965 404809137 510895131 527783133 554738447 641898405 674681895 851491885 879638555 1532685393 1583349399 1664215341 2024045685 2554475655 2638915665 2773692235 4598056179 4750048197 4992646023 6301039949 7663426965 7916746995 8321076705 14977938069 18903119847 22990280895 23750240985 24963230115 31505199745 56709359541 74889690345 94515599235 110183049919 170128078623 283546797705 330549149757 550915249595 850640393115 991647449271 1652745748785 2974942347813 4076772847003 4958237246355 12230318541009 14874711739065 20383864235015 36690955623027 61151592705045 110072866869081 183454778115135 550364334345405