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542013310245 = 35112379783207
BaseRepresentation
bin1111110001100101000…
…00101100010100100101
31220211000211200000012010
413320302200230110211
532340020401411440
61052555242144433
754105411056331
oct7706240542445
91824024600163
10542013310245
11199959424300
12890671b2119
133c15b357b74
141c33ad527c1
15e17425b580
hex7e3282c525

542013310245 has 96 divisors (see below), whose sum is σ = 989094161664. Its totient is φ = 253052743680.

The previous prime is 542013310217. The next prime is 542013310253.

542013310245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542013310245 - 211 = 542013308197 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6472432 + ... + 6555638.

It is an arithmetic number, because the mean of its divisors is an integer number (10303064184).

Almost surely, 2542013310245 is an apocalyptic number.

542013310245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542013310245 is a deficient number, since it is larger than the sum of its proper divisors (447080851419).

542013310245 is a wasteful number, since it uses less digits than its factorization.

542013310245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83371 (or 83360 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 542013 and 310245, that added together give a palindrome (852258).

The spelling of 542013310245 in words is "five hundred forty-two billion, thirteen million, three hundred ten thousand, two hundred forty-five".

Divisors: 1 3 5 11 15 33 37 55 97 111 121 165 185 291 363 407 485 555 605 1067 1221 1455 1815 2035 3201 3589 4477 5335 6105 10767 11737 13431 16005 17945 22385 35211 39479 53835 58685 67155 83207 118437 176055 197395 249621 416035 434269 592185 915277 1248105 1302807 2171345 2745831 3078659 4576385 6514035 8071079 9235977 10068047 13729155 15393295 24213237 30204141 33865249 40355395 46179885 50340235 88781869 101595747 121066185 151020705 169326245 266345607 298629923 372517739 443909345 507978735 895889769 976600559 1117553217 1331728035 1493149615 1862588695 2929801677 3284929153 4479448845 4883002795 5587766085 9854787459 14649008385 16424645765 36134220683 49273937295 108402662049 180671103415 542013310245