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2100066048 = 28331915991
BaseRepresentation
bin111110100101100…
…0111011100000000
312102100122102001000
41331023013130000
513300104103143
6544215412000
7103020160353
oct17513073400
95370572030
102100066048
11988483783
124a7384000
13276111c42
1415cca629a
15c457bbd3
hex7d2c7700

2100066048 has 144 divisors (see below), whose sum is σ = 6537529600. Its totient is φ = 663137280.

The previous prime is 2100065963. The next prime is 2100066097. The reversal of 2100066048 is 8406600012.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123333 + ... + 139323.

Almost surely, 22100066048 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 2100066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268764800).

2100066048 is an abundant number, since it is smaller than the sum of its proper divisors (4437463552).

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

2100066048 is a wasteful number, since it uses less digits than its factorization.

2100066048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16035 (or 16015 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2100066048 is about 45826.4775866529. The cubic root of 2100066048 is about 1280.5925901948.

The spelling of 2100066048 in words is "two billion, one hundred million, sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 1026 1152 1216 1368 1728 1824 2052 2304 2432 2736 3456 3648 4104 4864 5472 6912 7296 8208 10944 14592 15991 16416 21888 31982 32832 43776 47973 63964 65664 95946 127928 131328 143919 191892 255856 287838 303829 383784 431757 511712 575676 607658 767568 863514 911487 1023424 1151352 1215316 1535136 1727028 1822974 2046848 2302704 2430632 2734461 3070272 3454056 3645948 4093696 4605408 4861264 5468922 6140544 6908112 7291896 8203383 9210816 9722528 10937844 12281088 13816224 14583792 16406766 18421632 19445056 21875688 27632448 29167584 32813532 36843264 38890112 43751376 55264896 58335168 65627064 77780224 87502752 110529792 116670336 131254128 175005504 233340672 262508256 350011008 525016512 700022016 1050033024 2100066048