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235644660042 = 231179149330271
BaseRepresentation
bin1101101101110110000…
…1000010100101001010
3211112020111000000202120
43123131201002211022
512330100013110132
6300130442512110
723011331363451
oct3333541024512
9745214000676
10235644660042
1190a332a3930
1239804b05636
13192b4c773ac
14b59607bb98
1561e28e502c
hex36dd84294a

235644660042 has 64 divisors (see below), whose sum is σ = 521007759360. Its totient is φ = 70454030400.

The previous prime is 235644660029. The next prime is 235644660073. The reversal of 235644660042 is 240066446532.

It is a junction number, because it is equal to n+sod(n) for n = 235644659976 and 235644660003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7769367 + ... + 7799637.

It is an arithmetic number, because the mean of its divisors is an integer number (8140746240).

Almost surely, 2235644660042 is an apocalyptic number.

235644660042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 235644660042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260503879680).

235644660042 is an abundant number, since it is smaller than the sum of its proper divisors (285363099318).

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

235644660042 is a wasteful number, since it uses less digits than its factorization.

235644660042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31859.

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 235644660042 in words is "two hundred thirty-five billion, six hundred forty-four million, six hundred sixty thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 79 158 237 474 869 1493 1738 2607 2986 4479 5214 8958 16423 30271 32846 49269 60542 90813 98538 117947 181626 235894 332981 353841 665962 707682 998943 1297417 1997886 2391409 2594834 3892251 4782818 7174227 7784502 14348454 26305499 45194603 52610998 78916497 90389206 135583809 157832994 271167618 497140633 994281266 1491421899 2982843798 3570373637 7140747274 10711120911 21422241822 39274110007 78548220014 117822330021 235644660042