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542225012004 = 2233131000738593
BaseRepresentation
bin1111110001111110010…
…00010001010100100100
31220211120121000120102000
413320333020101110210
532340434100341004
61053032243445300
754113561361534
oct7707710212444
91824517016360
10542225012004
11199a57979a35
1289106086830
133c19317b490
141c35b0dd4c4
15e187b27c39
hex7e3f211524

542225012004 has 96 divisors (see below), whose sum is σ = 1514095107840. Its totient is φ = 166817470464.

The previous prime is 542225011987. The next prime is 542225012027. The reversal of 542225012004 is 400210522245.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14030532 + ... + 14069124.

It is an arithmetic number, because the mean of its divisors is an integer number (15771824040).

Almost surely, 2542225012004 is an apocalyptic number.

542225012004 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

542225012004 is an abundant number, since it is smaller than the sum of its proper divisors (971870095836).

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

542225012004 is a wasteful number, since it uses less digits than its factorization.

542225012004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48626 (or 48618 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 542225012004 its reverse (400210522245), we get a palindrome (942435534249).

The spelling of 542225012004 in words is "five hundred forty-two billion, two hundred twenty-five million, twelve thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 10007 20014 30021 38593 40028 60042 77186 90063 115779 120084 130091 154372 180126 231558 260182 270189 347337 360252 390273 463116 501709 520364 540378 694674 780546 1003418 1042011 1080756 1170819 1389348 1505127 1561092 2006836 2084022 2341638 3010254 3512457 4168044 4515381 4683276 6020508 7024914 9030762 13546143 14049828 18061524 27092286 54184572 386200151 772400302 1158600453 1544800604 2317200906 3475801359 4634401812 5020601963 6951602718 10041203926 10427404077 13903205436 15061805889 20082407852 20854808154 30123611778 41709616308 45185417667 60247223556 90370835334 135556253001 180741670668 271112506002 542225012004