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136047740631 = 31137596771397
BaseRepresentation
bin111111010110100010…
…0111100011011010111
3111000011101211022010120
41332231010330123113
54212111210200011
6142255515123023
712554250500145
oct1765504743327
9430141738116
10136047740631
1152774448190
122244a143473
13caa1b1749a
146828784595
153813c7ba06
hex1fad13c6d7

136047740631 has 128 divisors (see below), whose sum is σ = 213255659520. Its totient is φ = 76400755200.

The previous prime is 136047740603. The next prime is 136047740651.

136047740631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 136047740631 - 25 = 136047740599 is a prime.

It is a super-2 number, since 2×1360477406312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136047740651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 342689325 + ... + 342689721.

It is an arithmetic number, because the mean of its divisors is an integer number (1666059840).

Almost surely, 2136047740631 is an apocalyptic number.

136047740631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136047740631 is a deficient number, since it is larger than the sum of its proper divisors (77207918889).

136047740631 is a wasteful number, since it uses less digits than its factorization.

136047740631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645.

The product of its (nonzero) digits is 254016, while the sum is 42.

It can be divided in two parts, 136047 and 740631, that added together give a palindrome (876678).

The spelling of 136047740631 in words is "one hundred thirty-six billion, forty-seven million, seven hundred forty thousand, six hundred thirty-one".

Divisors: 1 3 11 33 37 59 67 71 111 177 201 213 397 407 649 737 781 1191 1221 1947 2183 2211 2343 2479 2627 3953 4189 4367 4757 6549 7437 7881 11859 12567 13101 14271 14689 23423 24013 26599 27269 28187 28897 43483 44067 46079 52327 70269 72039 79797 81807 84561 86691 130449 138237 146261 154993 156981 161579 176009 257653 280663 292589 310057 438783 464979 484737 528027 772959 841989 866651 877767 930171 984163 1042919 1569341 1608871 1663033 1704923 1888529 1936099 2599953 2952489 3087293 3128757 4708023 4826613 4989099 5114769 5665587 5808297 9261879 9533161 10384531 10825793 11472109 17262751 18293363 20773819 28599483 31153593 32477379 34416327 51788253 54880089 58065617 61532221 62321457 69875573 111423211 114229841 174196851 184596663 209626719 334269633 342689523 638721787 676854431 768631303 1225655321 1916165361 2030563293 2305893909 3676965963 4122658807 12367976421 45349246877 136047740631