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21490713195732 = 2232111071493403969
BaseRepresentation
bin1001110001011101100100…
…10100110111010011010100
32211002111021202100002212200
410320232302110313103110
510304100440034230412
6113412410343244500
74345436623066224
oct470566224672324
984074252302780
1021490713195732
116936184378980
1224b1064449730
13bcb7476bc591
14544228376084
15274051c9e9dc
hex138bb25374d4

21490713195732 has 144 divisors (see below), whose sum is σ = 60217590888000. Its totient is φ = 6408173998080.

The previous prime is 21490713195697. The next prime is 21490713195751. The reversal of 21490713195732 is 23759131709412.

21490713195732 is a `hidden beast` number, since 2 + 1 + 49 + 0 + 7 + 13 + 19 + 573 + 2 = 666.

It is a super-2 number, since 2×214907131957322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4611444 + ... + 8015412.

It is an arithmetic number, because the mean of its divisors is an integer number (418177714500).

Almost surely, 221490713195732 is an apocalyptic number.

21490713195732 is a gapful number since it is divisible by the number (22) 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 21490713195732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30108795444000).

21490713195732 is an abundant number, since it is smaller than the sum of its proper divisors (38726877692268).

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

21490713195732 is a wasteful number, since it uses less digits than its factorization.

21490713195732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404246 (or 3404241 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 21490713195732 in words is "twenty-one trillion, four hundred ninety billion, seven hundred thirteen million, one hundred ninety-five thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 107 132 149 198 214 298 321 396 428 447 596 642 894 963 1177 1284 1341 1639 1788 1926 2354 2682 3278 3531 3852 4708 4917 5364 6556 7062 9834 10593 14124 14751 15943 19668 21186 29502 31886 42372 47829 59004 63772 95658 143487 175373 191316 286974 350746 526119 573948 701492 1052238 1578357 2104476 3156714 3403969 6313428 6807938 10211907 13615876 20423814 30635721 37443659 40847628 61271442 74887318 112330977 122542884 149774636 224661954 336992931 364224683 449323908 507191381 673985862 728449366 1014382762 1092674049 1347971724 1456898732 1521574143 2028765524 2185348098 3043148286 3278022147 4006471513 4370696196 4564722429 5579105191 6086296572 6556044294 8012943026 9129444858 11158210382 12019414539 13112088588 16025886052 16737315573 18258889716 22316420764 24038829078 33474631146 36058243617 48077658156 50211946719 54269477767 66949262292 72116487234 100423893438 108538955534 144232974468 162808433301 200847786876 217077911068 325616866602 488425299903 596964255437 651233733204 976850599806 1193928510874 1790892766311 1953701199612 2387857021748 3581785532622 5372678298933 7163571065244 10745356597866 21490713195732