Search a number
-
+
21508017258996 = 223213738053114601
BaseRepresentation
bin1001110001111101110011…
…01110101000000111110100
32211011010221200222121011200
410320332321232220013310
510304341404404241441
6113424351405332500
74346621501152242
oct470767156500764
984133850877150
1021508017258996
116942554036804
1224b4493567130
13c002746a4078
14544dca5a5792
15274715ed97b6
hex138fb9ba81f4

21508017258996 has 72 divisors (see below), whose sum is σ = 54766248091464. Its totient is φ = 7116759014400.

The previous prime is 21508017258947. The next prime is 21508017258997. The reversal of 21508017258996 is 69985271080512.

21508017258996 is a `hidden beast` number, since 2 + 1 + 508 + 0 + 1 + 72 + 58 + 9 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3467304684900 + 18040712574096 = 1862070^2 + 4247436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21508017258997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187620096 + ... + 187734696.

Almost surely, 221508017258996 is an apocalyptic number.

It is an amenable number.

21508017258996 is an abundant number, since it is smaller than the sum of its proper divisors (33258230832468).

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

21508017258996 is a wasteful number, since it uses less digits than its factorization.

21508017258996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152801 (or 152796 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 21508017258996 in words is "twenty-one trillion, five hundred eight billion, seventeen million, two hundred fifty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932 38053 76106 114159 114601 152212 228318 229202 342477 343803 456636 458404 684954 687606 1031409 1369908 1375212 2062818 4125636 5213261 10426522 15639783 15700337 20853044 31279566 31400674 46919349 47101011 62559132 62801348 93838698 94202022 141303033 187677396 188404044 282606066 565212132 4360911853 8721823706 13082735559 17443647412 26165471118 39248206677 52330942236 78496413354 156992826708 597444923861 1194889847722 1792334771583 2389779695444 3584669543166 5377004314749 7169339086332 10754008629498 21508017258996