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13276134648 = 2332731849727
BaseRepresentation
bin11000101110101000…
…11011110011111000
31021021020101111222200
430113110123303320
5204142142302043
610033213350200
7646665165630
oct142724336370
937236344880
1013276134648
1156a3039507
1226a6198360
131337664b9a
148dd2c96c0
1552a7e97d3
hex31751bcf8

13276134648 has 96 divisors (see below), whose sum is σ = 42418421760. Its totient is φ = 3670816320.

The previous prime is 13276134593. The next prime is 13276134659. The reversal of 13276134648 is 84643167231.

13276134648 is a `hidden beast` number, since 1 + 3 + 27 + 613 + 4 + 6 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409240 + ... + 440487.

It is an arithmetic number, because the mean of its divisors is an integer number (441858560).

Almost surely, 213276134648 is an apocalyptic number.

13276134648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13276134648 is an abundant number, since it is smaller than the sum of its proper divisors (29142287112).

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

13276134648 is a wasteful number, since it uses less digits than its factorization.

13276134648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849777 (or 849770 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 13276134648 in words is "thirteen billion, two hundred seventy-six million, one hundred thirty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 15624 849727 1699454 2549181 3398908 5098362 5948089 6797816 7647543 10196724 11896178 15295086 17844267 20393448 23792356 26341537 30590172 35688534 47584712 52683074 53532801 61180344 71377068 79024611 105366148 107065602 142754136 158049222 184390759 210732296 214131204 237073833 316098444 368781518 428262408 474147666 553172277 632196888 737563036 948295332 1106344554 1475126072 1659516831 1896590664 2212689108 3319033662 4425378216 6638067324 13276134648