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21337160150012 = 22719971447285749
BaseRepresentation
bin1001101100111111100011…
…10110011110101111111100
32210112210221101012011120012
410312133301312132233330
510244042000444300022
6113214053412442352
74331362501534130
oct466376166365774
983483841164505
1021337160150012
116887047711a03
12248734b9193b8
13bba115cc0005
1453aa1cb793c0
152700662d5de2
hex1367f1d9ebfc

21337160150012 has 96 divisors (see below), whose sum is σ = 45414956160000. Its totient is φ = 8567941183488.

The previous prime is 21337160150011. The next prime is 21337160150023. The reversal of 21337160150012 is 21005106173312.

It is a super-2 number, since 2×213371601500122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21337160150011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74528114 + ... + 74813862.

It is an arithmetic number, because the mean of its divisors is an integer number (473072460000).

Almost surely, 221337160150012 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 21337160150012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22707478080000).

21337160150012 is an abundant number, since it is smaller than the sum of its proper divisors (24077796009988).

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

21337160150012 is a wasteful number, since it uses less digits than its factorization.

21337160150012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287323 (or 287321 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 21337160150012 in words is "twenty-one trillion, three hundred thirty-seven billion, one hundred sixty million, one hundred fifty thousand, twelve".

Divisors: 1 2 4 7 14 19 28 38 76 97 133 194 266 388 532 679 1358 1447 1843 2716 2894 3686 5788 7372 10129 12901 20258 25802 27493 40516 51604 54986 109972 140359 192451 280718 285749 384902 561436 571498 769804 982513 1142996 1965026 2000243 2666821 3930052 4000486 5333642 5429231 8000972 10667284 10858462 18667747 21716924 27717653 37335494 38004617 55435306 74670988 76009234 110870612 152018468 194023571 388047142 413478803 526635407 776094284 826957606 1053270814 1653915212 2106541628 2894351621 3686447849 5788703242 7372895698 7856097257 11577406484 14745791396 15712194514 31424389028 40107443891 54992680799 80214887782 109985361598 160429775564 219970723196 280752107237 561504214474 762041433929 1123008428948 1524082867858 3048165735716 5334290037503 10668580075006 21337160150012