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21985442028 = 2232113463991
BaseRepresentation
bin10100011110011011…
…110011100011101100
32002202012111011200200
4110132123303203230
5330011233121103
614033332153500
71405551113424
oct243633634354
962665434620
1021985442028
119362233000
124316a68890
1320c4b258c4
1410c7c71484
1588a2050a3
hex51e6f38ec

21985442028 has 144 divisors (see below), whose sum is σ = 61321408512. Its totient is φ = 6641157600.

The previous prime is 21985441999. The next prime is 21985442029. The reversal of 21985442028 is 82024458912.

21985442028 is a `hidden beast` number, since 219 + 8 + 5 + 4 + 420 + 2 + 8 = 666.

It is a super-2 number, since 2×219854420282 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21985442029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22184613 + ... + 22185603.

Almost surely, 221985442028 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 21985442028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30660704256).

21985442028 is an abundant number, since it is smaller than the sum of its proper divisors (39335966484).

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

21985442028 is a wasteful number, since it uses less digits than its factorization.

21985442028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 21985442028 in words is "twenty-one billion, nine hundred eighty-five million, four hundred forty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 463 484 726 926 991 1089 1331 1389 1452 1852 1982 2178 2662 2778 2973 3964 3993 4167 4356 5093 5324 5556 5946 7986 8334 8919 10186 10901 11892 11979 15279 15972 16668 17838 20372 21802 23958 30558 32703 35676 43604 45837 47916 56023 61116 65406 91674 98109 112046 119911 130812 168069 183348 196218 224092 239822 336138 359733 392436 458833 479644 504207 616253 672276 719466 917666 1008414 1079199 1232506 1319021 1376499 1438932 1835332 1848759 2016828 2158398 2465012 2638042 2752998 3697518 3957063 4129497 4316796 5047163 5276084 5505996 5546277 7395036 7914126 8258994 10094326 11092554 11871189 15141489 15828252 16517988 20188652 22185108 23742378 30282978 45424467 47484756 55518793 60565956 90848934 111037586 166556379 181697868 222075172 333112758 499669137 610706723 666225516 999338274 1221413446 1832120169 1998676548 2442826892 3664240338 5496360507 7328480676 10992721014 21985442028