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1329116504480 = 25511373513081
BaseRepresentation
bin10011010101110101100…
…001000110000110100000
311201001200102012010120222
4103111311201012012200
5133234012311120410
62454330535222212
7165011513611502
oct23256541060640
94631612163528
101329116504480
11472747686a36
12195712517968
139844842420b
1448488531d72
15248901d2955
hex135758461a0

1329116504480 has 48 divisors (see below), whose sum is σ = 3167825729544. Its totient is φ = 526941757440.

The previous prime is 1329116504477. The next prime is 1329116504489. The reversal of 1329116504480 is 844056119231.

It can be written as a sum of positive squares in 4 ways, for example, as 522619109776 + 806497394704 = 722924^2 + 898052^2 .

It is a super-2 number, since 2×13291165044802 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1329116504489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36738461 + ... + 36774620.

Almost surely, 21329116504480 is an apocalyptic number.

1329116504480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1329116504480 is an abundant number, since it is smaller than the sum of its proper divisors (1838709225064).

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

1329116504480 is a wasteful number, since it uses less digits than its factorization.

1329116504480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73513209 (or 73513201 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 1329116504480 in words is "one trillion, three hundred twenty-nine billion, one hundred sixteen million, five hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 9040 18080 73513081 147026162 294052324 367565405 588104648 735130810 1176209296 1470261620 2352418592 2940523240 5881046480 8306978153 11762092960 16613956306 33227912612 41534890765 66455825224 83069781530 132911650448 166139563060 265823300896 332279126120 664558252240 1329116504480