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11708172288 = 211327972
BaseRepresentation
bin10101110011101110…
…01000100000000000
31010012221222202222200
422321313020200000
5142434243003123
65213442433200
7563065552041
oct127167104000
933187882880
1011708172288
114a68a5a14a
122329062800
1311478686c7
147d0d748c8
15487d28143
hex2b9dc8800

11708172288 has 108 divisors (see below), whose sum is σ = 33857832645. Its totient is φ = 3897827328.

The previous prime is 11708172271. The next prime is 11708172299. The reversal of 11708172288 is 88227180711.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 11705508864 + 2663424 = 108192^2 + 1632^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=76512.

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 8 ways as a sum of consecutive naturals, for example, 14689906 + ... + 14690702.

Almost surely, 211708172288 is an apocalyptic number.

11708172288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11708172288

11708172288 is an abundant number, since it is smaller than the sum of its proper divisors (22149660357).

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

11708172288 is an frugal number, since it uses more digits than its factorization.

11708172288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 45.

The spelling of 11708172288 in words is "eleven billion, seven hundred eight million, one hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 797 1024 1152 1536 1594 2048 2304 2391 3072 3188 4608 4782 6144 6376 7173 9216 9564 12752 14346 18432 19128 25504 28692 38256 51008 57384 76512 102016 114768 153024 204032 229536 306048 408064 459072 612096 635209 816128 918144 1224192 1270418 1632256 1836288 1905627 2448384 2540836 3672576 3811254 4896768 5081672 5716881 7345152 7622508 10163344 11433762 14690304 15245016 20326688 22867524 30490032 40653376 45735048 60980064 81306752 91470096 121960128 162613504 182940192 243920256 325227008 365880384 487840512 650454016 731760768 975681024 1300908032 1463521536 1951362048 2927043072 3902724096 5854086144 11708172288