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215452562130 = 232513373493693
BaseRepresentation
bin1100100010100111111…
…0010011001011010010
3202121010021000011201100
43020221332103023102
512012221323442010
6242551052045230
721365054363361
oct3105176231322
9677107004640
10215452562130
1183411399903
123590a763816
1317417851170
14a5dc46d7d8
15590ed812c0
hex3229f932d2

215452562130 has 96 divisors (see below), whose sum is σ = 604885737456. Its totient is φ = 52892186112.

The previous prime is 215452562113. The next prime is 215452562131. The reversal of 215452562130 is 31265254512.

215452562130 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 5 + 25 + 621 + 3 + 0 = 666.

215452562130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 16508909169 + 198943652961 = 128487^2 + 446031^2 .

It is not an unprimeable number, because it can be changed into a prime (215452562131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189564 + ... + 683256.

Almost surely, 2215452562130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215452562130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302442868728).

215452562130 is an abundant number, since it is smaller than the sum of its proper divisors (389433175326).

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

215452562130 is a wasteful number, since it uses less digits than its factorization.

215452562130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494092 (or 494089 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 215452562130 in words is "two hundred fifteen billion, four hundred fifty-two million, five hundred sixty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 373 390 585 746 1119 1170 1865 2238 3357 3730 4849 5595 6714 9698 11190 14547 16785 24245 29094 33570 43641 48490 72735 87282 145470 218205 436410 493693 987386 1481079 2468465 2962158 4443237 4936930 6418009 7405395 8886474 12836018 14810790 19254027 22216185 32090045 38508054 44432370 57762081 64180090 96270135 115524162 184147489 192540270 288810405 368294978 552442467 577620810 920737445 1104884934 1657327401 1841474890 2393917357 2762212335 3314654802 4787834714 5524424670 7181752071 8286637005 11969586785 14363504142 16573274010 21545256213 23939173570 35908760355 43090512426 71817520710 107726281065 215452562130