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6642142605 = 3257101920693
BaseRepresentation
bin1100010111110011…
…10000110110001101
3122010220100210201200
412023321300312031
5102100342030410
63015032100113
7323412165150
oct61371606615
918126323650
106642142605
1128a935305a
121354534639
1381b12b4c7
14470205c97
1528d1cc3c0
hex18be70d8d

6642142605 has 48 divisors (see below), whose sum is σ = 13171317120. Its totient is φ = 3033281664.

The previous prime is 6642142567. The next prime is 6642142657. The reversal of 6642142605 is 5062412466.

6642142605 is a `hidden beast` number, since 6 + 6 + 4 + 2 + 1 + 42 + 605 = 666.

It is not a de Polignac number, because 6642142605 - 26 = 6642142541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6642142605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310639 + ... + 331331.

It is an arithmetic number, because the mean of its divisors is an integer number (274402440).

Almost surely, 26642142605 is an apocalyptic number.

It is an amenable number.

6642142605 is a deficient number, since it is larger than the sum of its proper divisors (6529174515).

6642142605 is a wasteful number, since it uses less digits than its factorization.

6642142605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21730 (or 21727 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6642142605 is about 81499.3411323061. The cubic root of 6642142605 is about 1879.7614195697.

The spelling of 6642142605 in words is "six billion, six hundred forty-two million, one hundred forty-two thousand, six hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 1019 3057 5095 7133 9171 15285 20693 21399 35665 45855 62079 64197 103465 106995 144851 186237 310395 320985 434553 724255 931185 1303659 2172765 6518295 21086167 63258501 105430835 147603169 189775503 316292505 442809507 738015845 948877515 1328428521 2214047535 6642142605