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135741581676 = 223646550611
BaseRepresentation
bin111111001101011010…
…1000010100101101100
3110222101001201211000000
41332122311002211230
54210444321103201
6142205301104300
712543542256351
oct1763265024554
9428331654000
10135741581676
1152627647458
12223836b8090
13ca5357123c
1467d9c4a628
1537e6e52d86
hex1f9ad4296c

135741581676 has 42 divisors (see below), whose sum is σ = 356158732412. Its totient is φ = 45247192920.

The previous prime is 135741581671. The next prime is 135741581693. The reversal of 135741581676 is 676185147531.

135741581676 is a `hidden beast` number, since 1 + 3 + 57 + 4 + 1 + 581 + 6 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (135741581671) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23272390 + ... + 23278221.

Almost surely, 2135741581676 is an apocalyptic number.

It is an amenable number.

135741581676 is an abundant number, since it is smaller than the sum of its proper divisors (220417150736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135741581676 is an equidigital number, since it uses as much as digits as its factorization.

135741581676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46550633 (or 46550616 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 135741581676 in words is "one hundred thirty-five billion, seven hundred forty-one million, five hundred eighty-one thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 46550611 93101222 139651833 186202444 279303666 418955499 558607332 837910998 1256866497 1675821996 2513732994 3770599491 5027465988 7541198982 11311798473 15082397964 22623596946 33935395419 45247193892 67870790838 135741581676