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642105646 = 271319229337
BaseRepresentation
bin100110010001011…
…100000100101110
31122202020100100121
4212101130010232
52303334340041
6143414315154
721624544060
oct4621340456
91582210317
10642105646
112aa4a7526
1215b058aba
13a304b990
14613c7730
153b5887d1
hex2645c12e

642105646 has 96 divisors (see below), whose sum is σ = 1298082240. Its totient is φ = 231662592.

The previous prime is 642105643. The next prime is 642105649. The reversal of 642105646 is 646501246.

It is an interprime number because it is at equal distance from previous prime (642105643) and next prime (642105649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642105641) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1905190 + ... + 1905526.

It is an arithmetic number, because the mean of its divisors is an integer number (13521690).

Almost surely, 2642105646 is an apocalyptic number.

642105646 is an abundant number, since it is smaller than the sum of its proper divisors (655976594).

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

642105646 is a wasteful number, since it uses less digits than its factorization.

642105646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 642105646 is about 25339.8035903990. The cubic root of 642105646 is about 862.7179407522.

The spelling of 642105646 in words is "six hundred forty-two million, one hundred five thousand, six hundred forty-six".

Divisors: 1 2 7 13 14 19 26 29 38 58 91 133 182 203 247 266 337 361 377 406 494 551 674 722 754 1102 1729 2359 2527 2639 3458 3857 4381 4693 4718 5054 5278 6403 7163 7714 8762 9386 9773 10469 12806 14326 19546 20938 30667 32851 44821 50141 61334 65702 68411 73283 83239 89642 100282 121657 127049 136097 136822 146566 166478 185687 243314 254098 272194 371374 582673 851599 889343 952679 1165346 1299809 1581541 1703198 1778686 1905358 2413931 2599618 3163082 3528053 4827862 7056106 11070787 16897517 22141574 24696371 33795034 45864689 49392742 91729378 321052823 642105646