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638668128 = 25371950021
BaseRepresentation
bin100110000100010…
…100110101100000
31122111202200222010
4212010110311200
52301444340003
6143212512520
721553406130
oct4604246540
91574680863
10638668128
112a85698aa
12159a7b740
13a2417147
1460b70ac0
153b10a003
hex26114d60

638668128 has 96 divisors (see below), whose sum is σ = 2016887040. Its totient is φ = 172869120.

The previous prime is 638668123. The next prime is 638668133. The reversal of 638668128 is 821866836.

It is an interprime number because it is at equal distance from previous prime (638668123) and next prime (638668133).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638668123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12243 + ... + 37778.

It is an arithmetic number, because the mean of its divisors is an integer number (21009240).

Almost surely, 2638668128 is an apocalyptic number.

It is an amenable number.

638668128 is an abundant number, since it is smaller than the sum of its proper divisors (1378218912).

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

638668128 is a wasteful number, since it uses less digits than its factorization.

638668128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50060 (or 50052 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 638668128 is about 25271.8841402852. The cubic root of 638668128 is about 861.1756626751.

The spelling of 638668128 in words is "six hundred thirty-eight million, six hundred sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 50021 100042 150063 200084 300126 350147 400168 600252 700294 800336 950399 1050441 1200504 1400588 1600672 1900798 2100882 2401008 2801176 2851197 3801596 4201764 4802016 5602352 5702394 6652793 7603192 8403528 11204704 11404788 13305586 15206384 16807056 19958379 22809576 26611172 30412768 33614112 39916758 45619152 53222344 79833516 91238304 106444688 159667032 212889376 319334064 638668128