Search a number
-
+
60100365042 = 233411732907
BaseRepresentation
bin110111111110010000…
…101100101011110010
312202010111102212201000
4313332100230223302
51441041143140132
643335411222430
74225225450104
oct677620545362
9182114385630
1060100365042
11235410a8883
12b7935a7a16
13588a49aba3
142ca1d3b574
15186b47a87c
hexdfe42caf2

60100365042 has 96 divisors (see below), whose sum is σ = 137760960960. Its totient is φ = 19410433920.

The previous prime is 60100365041. The next prime is 60100365097. The reversal of 60100365042 is 24056300106.

60100365042 is a `hidden beast` number, since 6 + 0 + 1 + 0 + 0 + 3 + 650 + 4 + 2 = 666.

It is a super-2 number, since 2×601003650422 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 60100364997 and 60100365015.

It is not an unprimeable number, because it can be changed into a prime (60100365041) 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, 66262353 + ... + 66263259.

It is an arithmetic number, because the mean of its divisors is an integer number (1435010010).

Almost surely, 260100365042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60100365042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68880480480).

60100365042 is an abundant number, since it is smaller than the sum of its proper divisors (77660595918).

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

60100365042 is a wasteful number, since it uses less digits than its factorization.

60100365042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 60100365042 its reverse (24056300106), we get a palindrome (84156665148).

The spelling of 60100365042 in words is "sixty billion, one hundred million, three hundred sixty-five thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 173 246 346 369 519 738 907 1038 1107 1557 1814 2214 2721 3114 4671 5442 7093 8163 9342 14186 16326 21279 24489 29929 37187 42558 48978 59858 63837 74374 89787 111561 127674 156911 179574 191511 223122 269361 313822 334683 383022 470733 538722 669366 808083 941466 1004049 1227089 1412199 1616166 2008098 2454178 2824398 3681267 4236597 6433351 7362534 8473194 11043801 12866702 19300053 22087602 27145603 33131403 38600106 54291206 57900159 66262806 81436809 115800318 162873618 173700477 244310427 347400954 488620854 732931281 1112969723 1465862562 2225939446 3338909169 6677818338 10016727507 20033455014 30050182521 60100365042