Search a number
-
+
16505061655968 = 2532193296939077
BaseRepresentation
bin1111000000101110001001…
…0101100100010110100000
32011102212110010101021121200
43300023202111210112200
54130404331240442333
655034153132121200
73322310546164464
oct360134225442640
964385403337550
1016505061655968
115293837022a16
121a2695b906200
139295611a1592
14410bc64924a4
151d9504093c13
hexf02e25645a0

16505061655968 has 72 divisors (see below), whose sum is σ = 47179462347108. Its totient is φ = 5473181048832.

The previous prime is 16505061655931. The next prime is 16505061655993. The reversal of 16505061655968 is 86955616050561.

It is a happy number.

16505061655968 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 5 + 0 + 6 + 16 + 559 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16213604198544 + 291457457424 = 4026612^2 + 539868^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148413955 + ... + 148525122.

Almost surely, 216505061655968 is an apocalyptic number.

16505061655968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16505061655968 is an abundant number, since it is smaller than the sum of its proper divisors (30674400691140).

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

16505061655968 is a wasteful number, since it uses less digits than its factorization.

16505061655968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296939286 (or 296939275 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 63.

The spelling of 16505061655968 in words is "sixteen trillion, five hundred five billion, sixty-one million, six hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 193 288 386 579 772 1158 1544 1737 2316 3088 3474 4632 6176 6948 9264 13896 18528 27792 55584 296939077 593878154 890817231 1187756308 1781634462 2375512616 2672451693 3563268924 4751025232 5344903386 7126537848 9502050464 10689806772 14253075696 21379613544 28506151392 42759227088 57309241861 85518454176 114618483722 171927725583 229236967444 343855451166 458473934888 515783176749 687710902332 916947869776 1031566353498 1375421804664 1833895739552 2063132706996 2750843609328 4126265413992 5501687218656 8252530827984 16505061655968