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11687144157 = 3313371038737
BaseRepresentation
bin10101110001001101…
…11010101011011101
31010011111102102211000
422320212322223131
5142413402103112
65211412020513
7562422041403
oct127046725335
933144372730
1011687144157
114a580a7427
122322001739
1311433b5320
147cc25d473
154860727dc
hex2b89baadd

11687144157 has 64 divisors (see below), whose sum is σ = 19338242560. Its totient is φ = 6928975872.

The previous prime is 11687144149. The next prime is 11687144179. The reversal of 11687144157 is 75144178611.

11687144157 is a `hidden beast` number, since 1 + 168 + 71 + 4 + 415 + 7 = 666.

It is not a de Polignac number, because 11687144157 - 23 = 11687144149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11687144197) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1333293 + ... + 1342029.

It is an arithmetic number, because the mean of its divisors is an integer number (302160040).

Almost surely, 211687144157 is an apocalyptic number.

It is an amenable number.

11687144157 is a deficient number, since it is larger than the sum of its proper divisors (7651098403).

11687144157 is a wasteful number, since it uses less digits than its factorization.

11687144157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8899 (or 8893 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

It can be divided in two parts, 116871 and 44157, that added together give a triangular number (161028 = T567).

The spelling of 11687144157 in words is "eleven billion, six hundred eighty-seven million, one hundred forty-four thousand, one hundred fifty-seven".

Divisors: 1 3 9 13 27 37 39 103 111 117 309 333 351 481 927 999 1339 1443 2781 3811 4017 4329 8737 11433 12051 12987 26211 34299 36153 49543 78633 102897 113581 148629 235899 323269 340743 445887 899911 969807 1022229 1337661 2699733 2909421 3066687 4202497 8099199 8728263 11698843 12607491 24297597 33296707 35096529 37822473 99890121 105289587 113467419 299670363 315868761 432857191 899011089 1298571573 3895714719 11687144157