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136331404133631 = 3761461230858491
BaseRepresentation
bin11110111111111000100000…
…111010100100010011111111
3122212201011011221220011000120
4132333320200322210103333
5120332123203424234011
61201541441001430023
740500422166654240
oct3677704072442377
9585634157804016
10136331404133631
113a491907532323
1213359b3349b313
135b0bcc49a3a75
142594691c04cc7
1510b645cc28a06
hex7bfe20ea44ff

136331404133631 has 32 divisors (see below), whose sum is σ = 211606740635136. Its totient is φ = 76460331888000.

The previous prime is 136331404133623. The next prime is 136331404133633.

136331404133631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 136331404133631 - 23 = 136331404133623 is a prime.

It is a super-2 number, since 2×1363314041336312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136331404133633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114838705 + ... + 116019786.

It is an arithmetic number, because the mean of its divisors is an integer number (6612710644848).

Almost surely, 2136331404133631 is an apocalyptic number.

136331404133631 is a deficient number, since it is larger than the sum of its proper divisors (75275336501505).

136331404133631 is a wasteful number, since it uses less digits than its factorization.

136331404133631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230859023.

The product of its (nonzero) digits is 419904, while the sum is 42.

It can be divided in two parts, 13633140 and 4133631, that added together give a palindrome (17766771).

The spelling of 136331404133631 in words is "one hundred thirty-six trillion, three hundred thirty-one billion, four hundred four million, one hundred thirty-three thousand, six hundred thirty-one".

Divisors: 1 3 7 21 61 183 427 461 1281 1383 3227 9681 28121 84363 196847 590541 230858491 692575473 1616009437 4848028311 14082367951 42247103853 98576575657 106425764351 295729726971 319277293053 744980350457 2234941051371 6491971625411 19475914876233 45443801377877 136331404133631