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11126623020 = 22354717322807
BaseRepresentation
bin10100101110011001…
…01100101100101100
31001201102201000100220
422113030230230230
5140241403414040
65040030051340
7542504510112
oct122714545454
931642630326
1011126623020
11479a763617
1221a6349b50
131084230006
14777a31ab2
15451c522d0
hex29732cb2c

11126623020 has 96 divisors (see below), whose sum is σ = 32002725888. Its totient is φ = 2887057152.

The previous prime is 11126622979. The next prime is 11126623073. The reversal of 11126623020 is 2032662111.

11126623020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 476457 + ... + 499263.

It is an arithmetic number, because the mean of its divisors is an integer number (333361728).

Almost surely, 211126623020 is an apocalyptic number.

11126623020 is a gapful number since it is divisible by the number (10) 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 11126623020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16001362944).

11126623020 is an abundant number, since it is smaller than the sum of its proper divisors (20876102868).

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

11126623020 is a wasteful number, since it uses less digits than its factorization.

11126623020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23039 (or 23037 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 11126623020 in words is "eleven billion, one hundred twenty-six million, six hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 173 188 235 282 346 470 519 564 692 705 865 940 1038 1410 1730 2076 2595 2820 3460 5190 8131 10380 16262 22807 24393 32524 40655 45614 48786 68421 81310 91228 97572 114035 121965 136842 162620 228070 243930 273684 342105 456140 487860 684210 1071929 1368420 2143858 3215787 3945611 4287716 5359645 6431574 7891222 10719290 11836833 12863148 15782444 16078935 19728055 21438580 23673666 32157870 39456110 47347332 59184165 64315740 78912220 118368330 185443717 236736660 370887434 556331151 741774868 927218585 1112662302 1854437170 2225324604 2781655755 3708874340 5563311510 11126623020