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27830080872 = 23331111712997
BaseRepresentation
bin11001111010110011…
…010101010101101000
32122211112012120221000
4121322303111111220
5423444000041442
620441315115000
72003440533006
oct317263252550
978745176830
1027830080872
111089139a740
1254882a2a60
132816966499
1414c019ba76
15acd39ed4c
hex67acd5568

27830080872 has 64 divisors (see below), whose sum is σ = 84333585600. Its totient is φ = 8433357120.

The previous prime is 27830080871. The next prime is 27830080939. The reversal of 27830080872 is 27808003872.

27830080872 is a `hidden beast` number, since 278 + 300 + 8 + 0 + 8 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (27830080871) 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 15 ways as a sum of consecutive naturals, for example, 5854123 + ... + 5858874.

It is an arithmetic number, because the mean of its divisors is an integer number (1317712275).

Almost surely, 227830080872 is an apocalyptic number.

27830080872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27830080872 is an abundant number, since it is smaller than the sum of its proper divisors (56503504728).

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

27830080872 is a wasteful number, since it uses less digits than its factorization.

27830080872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11713023 (or 11713013 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 27830080872 in words is "twenty-seven billion, eight hundred thirty million, eighty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 11712997 23425994 35138991 46851988 70277982 93703976 105416973 128842967 140555964 210833946 257685934 281111928 316250919 386528901 421667892 515371868 632501838 773057802 843335784 1030743736 1159586703 1265003676 1546115604 2319173406 2530007352 3092231208 3478760109 4638346812 6957520218 9276693624 13915040436 27830080872