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136045540631 = 7112133292521
BaseRepresentation
bin111111010110011110…
…0100011010100010111
3111000011020200112022002
41332230330203110113
54212110124300011
6142255400025515
712554223005150
oct1765474432427
9430136615262
10136045540631
1152773185300
122244946229b
13caa1527000
146828370927
153813994c3b
hex1facf23517

136045540631 has 96 divisors (see below), whose sum is σ = 191595331200. Its totient is φ = 94443148800.

The previous prime is 136045540613. The next prime is 136045540633.

136045540631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 136045540631 - 222 = 136041346327 is a prime.

It is a super-2 number, since 2×1360455406312 (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 (136045540633) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53963651 + ... + 53966171.

It is an arithmetic number, because the mean of its divisors is an integer number (1995784700).

Almost surely, 2136045540631 is an apocalyptic number.

136045540631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136045540631 is a deficient number, since it is larger than the sum of its proper divisors (55549790569).

136045540631 is a wasteful number, since it uses less digits than its factorization.

136045540631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

It can be divided in two parts, 136045 and 540631, that added together give a palindrome (676676).

The spelling of 136045540631 in words is "one hundred thirty-six billion, forty-five million, five hundred forty thousand, six hundred thirty-one".

Divisors: 1 7 11 13 29 77 91 121 143 169 203 319 377 847 1001 1183 1573 1859 2197 2233 2521 2639 3509 4147 4901 11011 13013 15379 17647 20449 24167 24563 27731 29029 32773 34307 45617 53911 63713 73109 143143 169169 194117 229411 265837 305041 319319 360503 377377 426049 445991 511763 593021 700843 804199 950417 1860859 2135287 2523521 2982343 3965533 4151147 4686539 4905901 5538637 5629393 6652919 7709273 8846189 10454587 12355421 27758731 32805773 38770459 51551929 53964911 60925007 61923323 73182109 86487947 115000457 135909631 160620473 360863503 426475049 670175077 805003199 951367417 1124343311 1495005941 1766825203 4691225539 10465041587 12367776421 19435077233 136045540631