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54229630061929 = 7217219232572
BaseRepresentation
bin11000101010010010100011…
…10101100000110101101001
321010000022011011022202022111
430111021101311200311221
524101444240243440204
6311200425332322321
714264650533642400
oct1425112165406551
9233008134282274
1054229630061929
1116308725451a43
1260ba0954733a1
132434aa83885aa
14d56a29c96637
15640985491d04
hex315251d60d69

54229630061929 has 81 divisors (see below), whose sum is σ = 70746846514533. Its totient is φ = 41433007182336.

The previous prime is 54229630061833. The next prime is 54229630062029. The reversal of 54229630061929 is 92916003692245.

The square root of 54229630061929 is 7364077.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22128340421929 + 32101289640000 = 4704077^2 + 5665800^2 .

It is not a de Polignac number, because 54229630061929 - 213 = 54229630053737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54229630065929) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16650176469 + ... + 16650179725.

Almost surely, 254229630061929 is an apocalyptic number.

54229630061929 is the 7364077-th square number.

54229630061929 is the 3682039-th centered octagonal number.

It is an amenable number.

54229630061929 is a deficient number, since it is larger than the sum of its proper divisors (16517216452604).

54229630061929 is an frugal number, since it uses more digits than its factorization.

54229630061929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6600 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 58.

The spelling of 54229630061929 in words is "fifty-four trillion, two hundred twenty-nine billion, six hundred thirty million, sixty-one thousand, nine hundred twenty-nine".

Divisors: 1 7 17 19 49 119 133 289 323 361 833 931 2023 2261 2527 3257 5491 6137 14161 15827 17689 22799 38437 42959 55369 61883 104329 159593 269059 300713 387583 433181 730303 941273 1052011 1175777 2713081 3032267 5112121 6588911 7364077 8230439 10608049 17884187 19988209 46122377 51548539 57613073 74256343 125189309 139917463 180336833 201552931 339799553 519794401 876325163 979422241 1262357831 1410870517 2378596871 3065726161 3426399827 3829505689 8836504817 9876093619 16650178097 21460083127 23984798789 26806539823 58248797059 65101596713 150220581889 167893591523 187645778761 407741579413 455711176991 1106727144121 2854191055891 3189978238937 7747090008847 54229630061929