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136357753631 = 1115185995569
BaseRepresentation
bin111111011111110001…
…1100011001100011111
3111000222000011121000112
41332333203203030133
54213230041104011
6142350351520235
712565033532141
oct1767743431437
9430860147015
10136357753631
1152913440580
1222515b2907b
13cb2110ca28
146857a02c91
1538310b758b
hex1fbf8e331f

136357753631 has 16 divisors (see below), whose sum is σ = 149914924800. Its totient is φ = 122996016000.

The previous prime is 136357753601. The next prime is 136357753633.

136357753631 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-136357753631 is a prime.

It is a super-2 number, since 2×1363577536312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 136357753631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136357753633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1379015 + ... + 1474583.

It is an arithmetic number, because the mean of its divisors is an integer number (9369682800).

Almost surely, 2136357753631 is an apocalyptic number.

136357753631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136357753631 is a deficient number, since it is larger than the sum of its proper divisors (13557171169).

136357753631 is a wasteful number, since it uses less digits than its factorization.

136357753631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96590.

The product of its digits is 3572100, while the sum is 50.

It can be divided in two parts, 136357 and 753631, that added together give a palindrome (889988).

The spelling of 136357753631 in words is "one hundred thirty-six billion, three hundred fifty-seven million, seven hundred fifty-three thousand, six hundred thirty-one".

Divisors: 1 11 151 859 1661 9449 95569 129709 1051259 1426799 14430919 82093771 158740109 903031481 12396159421 136357753631