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135582224316378 = 23723114876258977
BaseRepresentation
bin11110110100111110110010…
…010100010111011111011010
3122210001112102022220011212120
4132310332302110113133122
5120232334343411111003
61200205340342122110
740362330624411300
oct3664766224273732
9583045368804776
10135582224316378
113a22310a007064
12132588b0720336
135a8646c695658
14256a3010b0270
1510a1c112dd853
hex7b4fb25177da

135582224316378 has 48 divisors (see below), whose sum is σ = 325611556510464. Its totient is φ = 37488172619520.

The previous prime is 135582224316361. The next prime is 135582224316389. The reversal of 135582224316378 is 873613422285531.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7438120375 + ... + 7438138602.

It is an arithmetic number, because the mean of its divisors is an integer number (6783574093968).

Almost surely, 2135582224316378 is an apocalyptic number.

135582224316378 is an abundant number, since it is smaller than the sum of its proper divisors (190029332194086).

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

135582224316378 is a wasteful number, since it uses less digits than its factorization.

135582224316378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14876259027 (or 14876259020 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 60.

The spelling of 135582224316378 in words is "one hundred thirty-five trillion, five hundred eighty-two billion, two hundred twenty-four million, three hundred sixteen thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 3038 4557 9114 14876258977 29752517954 44628776931 89257553862 104133812839 208267625678 312401438517 461164028287 624802877034 728936689873 922328056574 1383492084861 1457873379746 2186810069619 2766984169722 3228148198009 4373620139238 6456296396018 9684444594027 19368889188054 22597037386063 45194074772126 67791112158189 135582224316378