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11708105616 = 24327121272
BaseRepresentation
bin10101110011101101…
…11000001110010000
31010012221212101112100
422321312320032100
5142434233334431
65213441200400
7563065153464
oct127166701620
933187771470
1011708105616
114a68a14049
122329030100
13114784425c
147d0d584a4
15487d134e6
hex2b9db8390

11708105616 has 135 divisors (see below), whose sum is σ = 33498182523. Its totient is φ = 3817437120.

The previous prime is 11708105611. The next prime is 11708105621. The reversal of 11708105616 is 61650180711.

The square root of 11708105616 is 108204.

It is a perfect power (a square), and thus also a powerful number.

11708105616 is a `hidden beast` number, since 1 + 17 + 0 + 81 + 0 + 561 + 6 = 666.

11708105616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11708105611) and next prime (11708105621).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11708105611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92189745 + ... + 92189871.

Almost surely, 211708105616 is an apocalyptic number.

11708105616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11708105616 is the 108204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11708105616

11708105616 is an abundant number, since it is smaller than the sum of its proper divisors (21790076907).

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

11708105616 is an equidigital number, since it uses as much as digits as its factorization.

11708105616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

Multiplying 11708105616 by its sum of digits (36), we get a square (421491802176 = 6492242).

11708105616 divided by its sum of digits (36) gives a square (325225156 = 180342).

The spelling of 11708105616 in words is "eleven billion, seven hundred eight million, one hundred five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 127 142 144 213 254 284 381 426 508 568 639 762 852 1016 1136 1143 1278 1524 1704 2032 2286 2556 3048 3408 4572 5041 5112 6096 9017 9144 10082 10224 15123 16129 18034 18288 20164 27051 30246 32258 36068 40328 45369 48387 54102 60492 64516 72136 80656 81153 90738 96774 108204 120984 129032 144272 145161 162306 181476 193548 216408 241968 258064 290322 324612 362952 387096 432816 580644 640207 649224 725904 774192 1145159 1161288 1280414 1298448 1920621 2290318 2322576 2560828 3435477 3841242 4580636 5121656 5761863 6870954 7682484 9161272 10243312 10306431 11523726 13741908 15364968 18322544 20612862 23047452 27483816 30729936 41225724 46094904 54967632 81306289 82451448 92189808 162612578 164902896 243918867 325225156 487837734 650450312 731756601 975675468 1300900624 1463513202 1951350936 2927026404 3902701872 5854052808 11708105616