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642663125 = 54131923181
BaseRepresentation
bin100110010011100…
…100001011010101
31122210021200001222
4212103210023111
52304010210000
6143434300125
721632355266
oct4623441325
91583250058
10642663125
112aa848355
1215b287645
13a31b5650
14614d096d
153b648a85
hex264e42d5

642663125 has 80 divisors (see below), whose sum is σ = 955194240. Its totient is φ = 427680000.

The previous prime is 642663089. The next prime is 642663149. The reversal of 642663125 is 521366246.

It is a happy number.

It is not a de Polignac number, because 642663125 - 212 = 642659029 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3550535 + ... + 3550715.

It is an arithmetic number, because the mean of its divisors is an integer number (11939928).

Almost surely, 2642663125 is an apocalyptic number.

642663125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

642663125 is a deficient number, since it is larger than the sum of its proper divisors (312531115).

642663125 is a wasteful number, since it uses less digits than its factorization.

642663125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 642663125 is about 25350.8012693879. The cubic root of 642663125 is about 862.9675403927.

The spelling of 642663125 in words is "six hundred forty-two million, six hundred sixty-three thousand, one hundred twenty-five".

Divisors: 1 5 13 19 23 25 65 95 115 125 181 247 299 325 437 475 575 625 905 1235 1495 1625 2185 2353 2375 2875 3439 4163 4525 5681 6175 7475 8125 10925 11765 11875 14375 17195 20815 22625 28405 30875 37375 44707 54119 54625 58825 79097 85975 104075 113125 142025 154375 186875 223535 270595 273125 294125 395485 429875 520375 710125 1028261 1117675 1352975 1470625 1977425 2149375 2601875 3550625 5141305 5588375 6764875 9887125 25706525 27941875 33824375 49435625 128532625 642663125