Search a number
-
+
1352636565042 = 2372311231120563
BaseRepresentation
bin10011101011101111011…
…011000000011000110010
311210022101120100000011010
4103223233123000120302
5134130144430040132
62513220451531350
7166503411045600
oct23535733003062
94708346300133
101352636565042
11481717094614
1219a1972b9b56
139a726170309
144967a118870
15252b9ebe6cc
hex13aef6c0632

1352636565042 has 96 divisors (see below), whose sum is σ = 3251130753024. Its totient is φ = 373693975200.

The previous prime is 1352636565041. The next prime is 1352636565043. The reversal of 1352636565042 is 2405656362531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1352636565041) and next prime (1352636565043).

It is a junction number, because it is equal to n+sod(n) for n = 1352636564982 and 1352636565000.

It is not an unprimeable number, because it can be changed into a prime (1352636565041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11159053 + ... + 11279615.

It is an arithmetic number, because the mean of its divisors is an integer number (33865945344).

Almost surely, 21352636565042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352636565042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625565376512).

1352636565042 is an abundant number, since it is smaller than the sum of its proper divisors (1898494187982).

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

1352636565042 is a wasteful number, since it uses less digits than its factorization.

1352636565042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121844 (or 121837 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 1352636565042 in words is "one trillion, three hundred fifty-two billion, six hundred thirty-six million, five hundred sixty-five thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1231 1302 1519 2462 3038 3693 4557 7386 8617 9114 17234 25851 38161 51702 60319 76322 114483 120563 120638 180957 228966 241126 267127 361689 361914 534254 723378 801381 843941 1602762 1687882 1869889 2531823 3737453 3739778 5063646 5609667 5907587 7474906 11212359 11219334 11815174 17722761 22424718 26162171 35445522 52324342 78486513 148413053 156973026 183135197 296826106 366270394 445239159 549405591 890478318 1038891371 1098811182 2077782742 3116674113 4600804643 6233348226 7272239597 9201609286 13802413929 14544479194 21816718791 27604827858 32205632501 43633437582 64411265002 96616897503 193233795006 225439427507 450878855014 676318282521 1352636565042