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27928440007 = 138321971583
BaseRepresentation
bin11010000000101010…
…100010110011000111
32200002101021202021221
4122000222202303013
5424144140040012
620455151221211
72006043552226
oct320052426307
980071252257
1027928440007
1110931970386
1254b5217807
132831154160
1414cd282cbd
15ad6d2d507
hex680aa2cc7

27928440007 has 24 divisors (see below), whose sum is σ = 30617383104. Its totient is φ = 25324200384.

The previous prime is 27928439923. The next prime is 27928440041. The reversal of 27928440007 is 70004482972.

It is not a de Polignac number, because 27928440007 - 211 = 27928437959 is a prime.

It is a super-2 number, since 2×279284400072 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27928440097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17641938 + ... + 17643520.

It is an arithmetic number, because the mean of its divisors is an integer number (1275724296).

Almost surely, 227928440007 is an apocalyptic number.

27928440007 is a deficient number, since it is larger than the sum of its proper divisors (2688943097).

27928440007 is a wasteful number, since it uses less digits than its factorization.

27928440007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 27928440007 in words is "twenty-seven billion, nine hundred twenty-eight million, four hundred forty thousand, seven".

Divisors: 1 13 83 197 1079 1583 2561 6889 16351 20579 89557 131389 212563 311851 1357133 1708057 4054063 10905287 17642729 25883633 141768731 336487229 2148341539 27928440007