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21715125423138 = 2327313217266111
BaseRepresentation
bin1001110111111111100100…
…10101100100110000100010
32211212221112102112102202200
410323333302111210300202
510321240034102020023
6114103442500154030
74400603023413000
oct473776225446042
984787472472680
1021715125423138
116a12373209924
122528653698916
13c1695c53aa14
1455103671ba70
15279cd84e1743
hex13bff2564c22

21715125423138 has 96 divisors (see below), whose sum is σ = 54872507289600. Its totient is φ = 6203828816640.

The previous prime is 21715125423109. The next prime is 21715125423143. The reversal of 21715125423138 is 83132452151712.

21715125423138 is a `hidden beast` number, since 2 + 1 + 71 + 5 + 1 + 2 + 542 + 3 + 1 + 38 = 666.

It is a super-2 number, since 2×217151254231382 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21715125423093 and 21715125423102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81468703 + ... + 81734813.

It is an arithmetic number, because the mean of its divisors is an integer number (571588617600).

Almost surely, 221715125423138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21715125423138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27436253644800).

21715125423138 is an abundant number, since it is smaller than the sum of its proper divisors (33157381866462).

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

21715125423138 is a wasteful number, since it uses less digits than its factorization.

21715125423138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279357 (or 279340 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 21715125423138 in words is "twenty-one trillion, seven hundred fifteen billion, one hundred twenty-five million, four hundred twenty-three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 3087 6174 13217 26434 39651 79302 92519 118953 185038 237906 266111 277557 532222 555114 647633 798333 832671 1295266 1596666 1665342 1862777 1942899 2394999 3725554 3885798 4533431 4789998 5588331 5828697 9066862 11176662 11657394 13039439 13600293 16764993 26078878 27200586 33529986 39118317 40800879 78236634 81601758 91276073 117354951 182552146 234709902 273828219 547656438 821484657 1642969314 3517189087 7034378174 10551567261 21103134522 24620323609 31654701783 49240647218 63309403566 73860970827 147721941654 172342265263 221582912481 344684530526 443165824962 517026795789 1034053591578 1206395856841 1551080387367 2412791713682 3102160774734 3619187570523 7238375141046 10857562711569 21715125423138