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21152984244 = 2237328118289
BaseRepresentation
bin10011101100110100…
…001110110010110100
32000121012001221021220
4103230310032302310
5321310130443434
613414553510340
71346122254000
oct235464166264
960535057256
1021152984244
118a75343167
1241241123b0
131cc151a132
141049497700
1583c0bad49
hex4ecd0ecb4

21152984244 has 96 divisors (see below), whose sum is σ = 57767136000. Its totient is φ = 6021872640.

The previous prime is 21152984239. The next prime is 21152984257. The reversal of 21152984244 is 44248925112.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 21152984196 and 21152984205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147452 + ... + 1165740.

It is an arithmetic number, because the mean of its divisors is an integer number (601741000).

Almost surely, 221152984244 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 21152984244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28883568000).

21152984244 is an abundant number, since it is smaller than the sum of its proper divisors (36614151756).

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

21152984244 is a wasteful number, since it uses less digits than its factorization.

21152984244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18598 (or 18582 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The spelling of 21152984244 in words is "twenty-one billion, one hundred fifty-two million, nine hundred eighty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 281 294 343 562 588 686 843 1029 1124 1372 1686 1967 2058 3372 3934 4116 5901 7868 11802 13769 18289 23604 27538 36578 41307 54867 55076 73156 82614 96383 109734 128023 165228 192766 219468 256046 289149 384069 385532 512092 578298 768138 896161 1156596 1536276 1792322 2688483 3584644 5139209 5376966 6273127 10278418 10753932 12546254 15417627 18819381 20556836 25092508 30835254 35974463 37638762 61670508 71948926 75277524 107923389 143897852 215846778 251821241 431693556 503642482 755463723 1007284964 1510927446 1762748687 3021854892 3525497374 5288246061 7050994748 10576492122 21152984244