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135413468658 = 2341364298893
BaseRepresentation
bin111111000011101000…
…1011000110111110010
3110221112012022221120000
41332013101120313302
54204311321444113
6142112540330430
712532446330546
oct1760721306762
9427465287500
10135413468658
1152479411276
12222b1843a16
13ca005ac320
1467a8439a26
1537c823e373
hex1f87458df2

135413468658 has 40 divisors (see below), whose sum is σ = 326766979308. Its totient is φ = 41665682016.

The previous prime is 135413468653. The next prime is 135413468681. The reversal of 135413468658 is 856864314531.

It is a happy number.

135413468658 is a `hidden beast` number, since 1 + 3 + 541 + 3 + 46 + 8 + 6 + 58 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 134353770849 + 1059697809 = 366543^2 + 32553^2 .

It is a super-2 number, since 2×1354134686582 (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135413468651) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32147341 + ... + 32151552.

Almost surely, 2135413468658 is an apocalyptic number.

135413468658 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

135413468658 is an abundant number, since it is smaller than the sum of its proper divisors (191353510650).

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

135413468658 is a wasteful number, since it uses less digits than its factorization.

135413468658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64298920 (or 64298911 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 135413468658 in words is "one hundred thirty-five billion, four hundred thirteen million, four hundred sixty-eight thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 64298893 128597786 192896679 385793358 578690037 835885609 1157380074 1671771218 1736070111 2507656827 3472140222 5015313654 5208210333 7522970481 10416420666 15045940962 22568911443 45137822886 67706734329 135413468658