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131316365632 = 2617226926393
BaseRepresentation
bin111101001001100010…
…0001011100101000000
3110112221122220112210111
41322103010023211000
54122413442200012
6140154221241104
712326066456014
oct1722304134500
9415848815714
10131316365632
1150766735111
1221549703194
13c4c981c8ca
1464da24a544
1536386d7ba7
hex1e9310b940

131316365632 has 84 divisors (see below), whose sum is σ = 277850429820. Its totient is φ = 61563879424.

The previous prime is 131316365563. The next prime is 131316365651. The reversal of 131316365632 is 236563613131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 256 + 131316365376 = 16^2 + 362376^2 .

It is a super-2 number, since 2×1313163656322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4962228 + ... + 4988620.

Almost surely, 2131316365632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131316365632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138925214910).

131316365632 is an abundant number, since it is smaller than the sum of its proper divisors (146534064188).

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

131316365632 is a wasteful number, since it uses less digits than its factorization.

131316365632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26708 (or 26681 counting only the distinct ones).

The product of its digits is 174960, while the sum is 40.

Adding to 131316365632 its reverse (236563613131), we get a palindrome (367879978763).

The spelling of 131316365632 in words is "one hundred thirty-one billion, three hundred sixteen million, three hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 269 272 289 538 544 578 1076 1088 1156 2152 2312 4304 4573 4624 8608 9146 9248 17216 18292 18496 26393 36584 52786 73168 77741 105572 146336 155482 211144 292672 310964 422288 448681 621928 844576 897362 1243856 1689152 1794724 2487712 3589448 4975424 7099717 7178896 7627577 14199434 14357792 15255154 28398868 28715584 30510308 56797736 61020616 113595472 120695189 122041232 227190944 241390378 244082464 454381888 482780756 488164928 965561512 1931123024 2051818213 3862246048 4103636426 7724492096 8207272852 16414545704 32829091408 65658182816 131316365632