Search a number
-
+
21506731055010 = 23852911303329
BaseRepresentation
bin1001110001111011011010…
…00100001001011110100010
32211011000122001202200000000
410320331231010021132202
510304331241122230020
6113424020021440430
74346544562461345
oct470755504113642
984130561680000
1021506731055010
116941a54001703
1224b4194870116
13c000cb089716
14544d0783645c
1527468d122090
hex138f6d1097a2

21506731055010 has 144 divisors (see below), whose sum is σ = 60067478086200. Its totient is φ = 5537364747264.

The previous prime is 21506731054979. The next prime is 21506731055053. The reversal of 21506731055010 is 1055013760512.

It is a happy number.

21506731055010 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 67 + 31 + 0 + 550 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18366615925641 + 3140115129369 = 4285629^2 + 1772037^2 .

It is a super-2 number, since 2×215067310550102 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3748975 + ... + 7554354.

Almost surely, 221506731055010 is an apocalyptic number.

21506731055010 is an abundant number, since it is smaller than the sum of its proper divisors (38560747031190).

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

21506731055010 is an equidigital number, since it uses as much as digits as its factorization.

21506731055010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11303389 (or 11303368 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 21506731055010 in words is "twenty-one trillion, five hundred six billion, seven hundred thirty-one million, fifty-five thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 243 261 270 290 405 435 486 522 729 783 810 870 1215 1305 1458 1566 2187 2349 2430 2610 3645 3915 4374 4698 6561 7047 7290 7830 10935 11745 13122 14094 21141 21870 23490 32805 35235 42282 63423 65610 70470 105705 126846 190269 211410 317115 380538 634230 951345 1902690 11303329 22606658 33909987 56516645 67819974 101729961 113033290 169549935 203459922 305189883 327796541 339099870 508649805 610379766 655593082 915569649 983389623 1017299610 1525949415 1638982705 1831139298 1966779246 2746708947 2950168869 3051898830 3277965410 4577848245 4916948115 5493417894 5900337738 8240126841 8850506607 9155696490 9833896230 13733544735 14750844345 16480253682 17701013214 24720380523 26551519821 27467089470 29501688690 41200634205 44252533035 49440761046 53103039642 74161141569 79654559463 82401268410 88505066070 123601902615 132757599105 148322283138 159309118926 238963678389 247203805230 265515198210 370805707845 398272797315 477927356778 716891035167 741611415690 796545594630 1194818391945 1433782070334 2150673105501 2389636783890 3584455175835 4301346211002 7168910351670 10753365527505 21506731055010