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11109717632 = 27138975017
BaseRepresentation
bin10100101100011000…
…01101011010000000
31001200020220010112102
422112030031122000
5140223041431012
65034223445532
7542211020216
oct122614153200
931606803472
1011109717632
114791167322
1221a07568a8
131080891320
147756b0cb6
154505132c2
hex29630d680

11109717632 has 64 divisors (see below), whose sum is σ = 24103283400. Its totient is φ = 5069881344.

The previous prime is 11109717629. The next prime is 11109717667. The reversal of 11109717632 is 23671790111.

It can be written as a sum of positive squares in 4 ways, for example, as 4363395136 + 6746322496 = 66056^2 + 82136^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 110588 + ... + 185604.

Almost surely, 211109717632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11109717632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12051641700).

11109717632 is an abundant number, since it is smaller than the sum of its proper divisors (12993565768).

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

11109717632 is an equidigital number, since it uses as much as digits as its factorization.

11109717632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75133 (or 75121 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 38.

The spelling of 11109717632 in words is "eleven billion, one hundred nine million, seven hundred seventeen thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 128 178 208 356 416 712 832 1157 1424 1664 2314 2848 4628 5696 9256 11392 18512 37024 74048 75017 148096 150034 300068 600136 975221 1200272 1950442 2400544 3900884 4801088 6676513 7801768 9602176 13353026 15603536 26706052 31207072 53412104 62414144 86794669 106824208 124828288 173589338 213648416 347178676 427296832 694357352 854593664 1388714704 2777429408 5554858816 11109717632