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11180008580 = 2251366165053
BaseRepresentation
bin10100110100110000…
…10110010010000100
31001212011011021120212
422122120112102010
5140344040233310
65045214214552
7544023335126
oct123230262204
931764137525
1011180008580
114817906a14
1222001b4458
1310923023c0
14780b6b216
1545679a205
hex29a616484

11180008580 has 48 divisors (see below), whose sum is σ = 25322659824. Its totient is φ = 4121694720.

The previous prime is 11180008549. The next prime is 11180008621. The reversal of 11180008580 is 8580008111.

It can be written as a sum of positive squares in 8 ways, for example, as 1732557376 + 9447451204 = 41624^2 + 97198^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139334 + ... + 204386.

It is an arithmetic number, because the mean of its divisors is an integer number (527555413).

Almost surely, 211180008580 is an apocalyptic number.

11180008580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11180008580 is an abundant number, since it is smaller than the sum of its proper divisors (14142651244).

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

11180008580 is a wasteful number, since it uses less digits than its factorization.

11180008580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65736 (or 65734 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 32.

The spelling of 11180008580 in words is "eleven billion, one hundred eighty million, eight thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 661 1322 2644 3305 6610 8593 13220 17186 34372 42965 65053 85930 130106 171860 260212 325265 650530 845689 1301060 1691378 3382756 4228445 8456890 16913780 43000033 86000066 172000132 215000165 430000330 559000429 860000660 1118000858 2236001716 2795002145 5590004290 11180008580