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21152516300055 = 32572911320491561
BaseRepresentation
bin1001100111100111101000…
…01110000101110100010111
32202220011100020012201202200
410303303310032011310113
510233030323133100210
6112553155402135543
74312135033646640
oct463636416056427
982804306181680
1021152516300055
1168158060085a8
1224575baab15b3
13ba589b24746a
14531b0430a6c7
1526a35b0770c0
hex133cf4385d17

21152516300055 has 96 divisors (see below), whose sum is σ = 43730632632960. Its totient is φ = 9253660631040.

The previous prime is 21152516300033. The next prime is 21152516300059. The reversal of 21152516300055 is 55000361525112.

21152516300055 is a `hidden beast` number, since 2 + 1 + 15 + 2 + 5 + 1 + 630 + 0 + 0 + 5 + 5 = 666.

It is not a de Polignac number, because 21152516300055 - 28 = 21152516299799 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21152516299992 and 21152516300019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21152516300059) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9213526 + ... + 11278035.

It is an arithmetic number, because the mean of its divisors is an integer number (455527423260).

Almost surely, 221152516300055 is an apocalyptic number.

21152516300055 is an abundant number, since it is smaller than the sum of its proper divisors (22578116332905).

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

21152516300055 is a wasteful number, since it uses less digits than its factorization.

21152516300055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20491721 (or 20491718 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

Adding to 21152516300055 its reverse (55000361525112), we get a palindrome (76152877825167).

The spelling of 21152516300055 in words is "twenty-one trillion, one hundred fifty-two billion, five hundred sixteen million, three hundred thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 113 145 203 261 315 339 435 565 609 791 1015 1017 1305 1695 1827 2373 3045 3277 3955 5085 7119 9135 9831 11865 16385 22939 29493 35595 49155 68817 114695 147465 206451 344085 1032255 20491561 61474683 102457805 143440927 184424049 307373415 430322781 594255269 717204635 922120245 1290968343 1782765807 2151613905 2315546393 2971276345 4159786883 5348297421 6454841715 6946639179 8913829035 11577731965 12479360649 16208824751 20798934415 20839917537 26741487105 34733195895 37438081947 48626474253 62396803245 67150845397 81044123755 104199587685 145879422759 187190409735 201452536191 243132371265 335754226985 470055917779 604357608573 729397113795 1007262680955 1410167753337 2350279588895 3021788042865 4230503260011 7050838766685 21152516300055