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27132020784 = 24321117128801
BaseRepresentation
bin11001010001001100…
…011100100000110000
32121000212200110111200
4121101030130200300
5421031244131114
620244141211200
71650233241261
oct312114344060
977025613450
1027132020784
1110563355880
125312560b00
13273515608b
1414555aa968
15a8be62409
hex65131c830

27132020784 has 60 divisors (see below), whose sum is σ = 82834886472. Its totient is φ = 8221824000.

The previous prime is 27132020777. The next prime is 27132020789. The reversal of 27132020784 is 48702023172.

It is a super-2 number, since 2×271320207842 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27132020789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8562817 + ... + 8565984.

Almost surely, 227132020784 is an apocalyptic number.

27132020784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27132020784 is an abundant number, since it is smaller than the sum of its proper divisors (55702865688).

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

27132020784 is a wasteful number, since it uses less digits than its factorization.

27132020784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17128826 (or 17128817 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 27132020784 in words is "twenty-seven billion, one hundred thirty-two million, twenty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 17128801 34257602 51386403 68515204 102772806 137030408 154159209 188416811 205545612 274060816 308318418 376833622 411091224 565250433 616636836 753667244 822182448 1130500866 1233273672 1507334488 1695751299 2261001732 2466547344 3014668976 3391502598 4522003464 6783005196 9044006928 13566010392 27132020784