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107422635264 = 283719981889
BaseRepresentation
bin110010000001011100…
…0110101010100000000
3101021021110122021121220
41210002320311110000
53230000143312024
6121203235515040
710522014222360
oct1440270652400
9337243567556
10107422635264
114161530590a
121899b758a80
13a18c550a09
1452b0b949a0
152bdabd8e79
hex1902e35500

107422635264 has 72 divisors (see below), whose sum is σ = 326743865280. Its totient is φ = 30692179968.

The previous prime is 107422635259. The next prime is 107422635293. The reversal of 107422635264 is 462536224701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9985569 + ... + 9996320.

It is an arithmetic number, because the mean of its divisors is an integer number (4538109240).

Almost surely, 2107422635264 is an apocalyptic number.

107422635264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107422635264 is an abundant number, since it is smaller than the sum of its proper divisors (219321230016).

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

107422635264 is an equidigital number, since it uses as much as digits as its factorization.

107422635264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19981915 (or 19981901 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

Adding to 107422635264 its reverse (462536224701), we get a palindrome (569958859965).

The spelling of 107422635264 in words is "one hundred seven billion, four hundred twenty-two million, six hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 19981889 39963778 59945667 79927556 119891334 139873223 159855112 239782668 279746446 319710224 419619669 479565336 559492892 639420448 839239338 959130672 1118985784 1278840896 1678478676 1918261344 2237971568 2557681792 3356957352 3836522688 4475943136 5115363584 6713914704 7673045376 8951886272 13427829408 15346090752 17903772544 26855658816 35807545088 53711317632 107422635264