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542602424206245 = 351329413077623017
BaseRepresentation
bin111101101011111100111100…
…0101111111100001110100101
32122011012021200212202222222210
41323113321320233330032211
51032104444231044044440
65202004040144314033
7222201505620006264
oct17327717057741645
92564167625688883
10542602424206245
11147987439937257
1250a33b9a012919
131a39c25c462780
1497dc1515ca5db
1542ae5031bda80
hex1ed7e78bfc3a5

542602424206245 has 128 divisors (see below), whose sum is σ = 994002517347840. Its totient is φ = 250805764177920.

The previous prime is 542602424206169. The next prime is 542602424206273.

542602424206245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542602424206245 - 210 = 542602424205221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542602424206194 and 542602424206203.

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, 67367977 + ... + 74990993.

It is an arithmetic number, because the mean of its divisors is an integer number (7765644666780).

Almost surely, 2542602424206245 is an apocalyptic number.

It is an amenable number.

542602424206245 is a deficient number, since it is larger than the sum of its proper divisors (451400093141595).

542602424206245 is a wasteful number, since it uses less digits than its factorization.

542602424206245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7623415.

The product of its (nonzero) digits is 7372800, while the sum is 48.

The spelling of 542602424206245 in words is "five hundred forty-two trillion, six hundred two billion, four hundred twenty-four million, two hundred six thousand, two hundred forty-five".

Divisors: 1 3 5 13 15 29 39 41 65 87 123 145 195 205 307 377 435 533 615 921 1131 1189 1535 1599 1885 2665 3567 3991 4605 5655 5945 7995 8903 11973 12587 15457 17835 19955 26709 37761 44515 46371 59865 62935 77285 115739 133545 163631 188805 231855 347217 365023 490893 578695 818155 1095069 1736085 1825115 2454465 4745299 5475345 7623017 14235897 22869051 23726495 38115085 71179485 99099221 114345255 221067493 297297663 312543697 495496105 663202479 937631091 1105337465 1486488315 1562718485 2340266219 2873877409 3316012395 4063068061 4688155455 7020798657 8621632227 9063767213 11701331095 12189204183 14369387045 20315340305 27191301639 30423460847 35103993285 43108161135 45318836065 60946020915 67867720351 91270382541 95950914979 117828973769 135956508195 152117304235 203603161053 287852744937 339338601755 353486921307 456351912705 479754574895 589144868845 882280364563 1018015805265 1247361894727 1439263724685 1767434606535 2646841093689 2782576534391 3742085684181 4411401822815 6236809473635 8347729603173 13234205468445 13912882671955 18710428420905 36173494947083 41738648015865 108520484841249 180867474735415 542602424206245