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1106512055824 = 24741572376611
BaseRepresentation
bin10000000110100001010…
…000100000111000010000
310220210002201122110221111
4100012201100200320100
5121112114041241244
62204154041303104
7142641254201020
oct20064120407020
93823081573844
101106512055824
113972a6232a0a
1215a548794a94
1380460c8a646
143b7ac2c9a80
151dbb2533e34
hex101a1420e10

1106512055824 has 40 divisors (see below), whose sum is σ = 2450724268608. Its totient is φ = 474105175680.

The previous prime is 1106512055797. The next prime is 1106512055851. The reversal of 1106512055824 is 4285502156011.

It is an interprime number because it is at equal distance from previous prime (1106512055797) and next prime (1106512055851).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 722722 + ... + 1653889.

Almost surely, 21106512055824 is an apocalyptic number.

1106512055824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1106512055824 is an abundant number, since it is smaller than the sum of its proper divisors (1344212212784).

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

1106512055824 is a wasteful number, since it uses less digits than its factorization.

1106512055824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380783 (or 2380777 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 40.

The spelling of 1106512055824 in words is "one trillion, one hundred six billion, five hundred twelve million, fifty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 4157 8314 16628 29099 33256 58198 66512 116396 232792 465584 2376611 4753222 9506444 16636277 19012888 33272554 38025776 66545108 133090216 266180432 9879571927 19759143854 39518287708 69157003489 79036575416 138314006978 158073150832 276628013956 553256027912 1106512055824