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21049064600 = 23522112392087
BaseRepresentation
bin10011100110100111…
…110011110010011000
32000022221112021100012
4103212213303302120
5321102030031400
613400402301052
71343421045164
oct234647636230
960287467305
1021049064600
118a21714863
1240b5357788
131ca5b33515
141039765ca4
15832dded35
hex4e69f3c98

21049064600 has 96 divisors (see below), whose sum is σ = 49400409600. Its totient is φ = 8340662400.

The previous prime is 21049064599. The next prime is 21049064609. The reversal of 21049064600 is 646094012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21049064609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10084757 + ... + 10086843.

It is an arithmetic number, because the mean of its divisors is an integer number (514587600).

Almost surely, 221049064600 is an apocalyptic number.

21049064600 is a gapful number since it is divisible by the number (20) 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 21049064600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24700204800).

21049064600 is an abundant number, since it is smaller than the sum of its proper divisors (28351345000).

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

21049064600 is a wasteful number, since it uses less digits than its factorization.

21049064600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 21049064600 in words is "twenty-one billion, forty-nine million, sixty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211 239 422 478 844 956 1055 1195 1688 1912 2087 2110 2390 4174 4220 4780 5275 5975 8348 8440 9560 10435 10550 11950 16696 20870 21100 23900 41740 42200 47800 50429 52175 83480 100858 104350 201716 208700 252145 403432 417400 440357 498793 504290 880714 997586 1008580 1260725 1761428 1995172 2017160 2201785 2493965 2521450 3522856 3990344 4403570 4987930 5042900 8807140 9975860 10085800 11008925 12469825 17614280 19951720 22017850 24939650 44035700 49879300 88071400 99758600 105245323 210490646 420981292 526226615 841962584 1052453230 2104906460 2631133075 4209812920 5262266150 10524532300 21049064600