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11099864032 = 252379349547
BaseRepresentation
bin10100101011001101…
…00111101111100000
31001122120100111221021
422111212213233200
5140213031122112
65033232335224
7542031200425
oct122546475740
931576314837
1011099864032
114786647154
1221993a4514
13107b8212aa
14774267d4c
1544e718907
hex2959a7be0

11099864032 has 96 divisors (see below), whose sum is σ = 23200128000. Its totient is φ = 5216859648.

The previous prime is 11099864021. The next prime is 11099864033. The reversal of 11099864032 is 23046899011.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11099864032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11099864033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20291983 + ... + 20292529.

It is an arithmetic number, because the mean of its divisors is an integer number (241668000).

Almost surely, 211099864032 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 11099864032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11600064000).

11099864032 is an abundant number, since it is smaller than the sum of its proper divisors (12100263968).

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

11099864032 is a wasteful number, since it uses less digits than its factorization.

11099864032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 11099864032 in words is "eleven billion, ninety-nine million, eight hundred sixty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 79 92 158 184 316 349 368 547 632 698 736 1094 1264 1396 1817 2188 2528 2792 3634 4376 5584 7268 8027 8752 11168 12581 14536 16054 17504 25162 27571 29072 32108 43213 50324 55142 58144 64216 86426 100648 110284 128432 172852 190903 201296 220568 256864 345704 381806 402592 441136 634133 691408 763612 882272 993899 1268266 1382816 1527224 1987798 2536532 3054448 3975596 4390769 5073064 6108896 7951192 8781538 10146128 15081337 15902384 17563076 20292256 30162674 31804768 35126152 60325348 70252304 120650696 140504608 241301392 346870751 482602784 693741502 1387483004 2774966008 5549932016 11099864032