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27073072720 = 2452633134111
BaseRepresentation
bin11001001101101011…
…100100111001010000
32120212202202120222001
4121031223210321100
5420421201311340
620234233523344
71645616215111
oct311553447120
976782676861
1027073072720
1110533053271
1252b6873554
132725b86b75
14144b824208
15a86bbb29a
hex64dae4e50

27073072720 has 80 divisors (see below), whose sum is σ = 63401513472. Its totient is φ = 10750970880.

The previous prime is 27073072711. The next prime is 27073072723. The reversal of 27073072720 is 2727037072.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 27073072720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27073072723) 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 15 ways as a sum of consecutive naturals, for example, 6583465 + ... + 6587575.

Almost surely, 227073072720 is an apocalyptic number.

27073072720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27073072720 is an abundant number, since it is smaller than the sum of its proper divisors (36328440752).

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

27073072720 is a wasteful number, since it uses less digits than its factorization.

27073072720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700 (or 4694 counting only the distinct ones).

The product of its (nonzero) digits is 57624, while the sum is 37.

The spelling of 27073072720 in words is "twenty-seven billion, seventy-three million, seventy-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 263 313 526 626 1052 1252 1315 1565 2104 2504 2630 3130 4111 4208 5008 5260 6260 8222 10520 12520 16444 20555 21040 25040 32888 41110 65776 82220 82319 164440 164638 328880 329276 411595 658552 823190 1081193 1286743 1317104 1646380 2162386 2573486 3292760 4324772 5146972 5405965 6433715 6585520 8649544 10293944 10811930 12867430 17299088 20587888 21623860 25734860 43247720 51469720 86495440 102939440 338413409 676826818 1353653636 1692067045 2707307272 3384134090 5414614544 6768268180 13536536360 27073072720