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27953009900 = 22521716442947
BaseRepresentation
bin11010000010001000…
…010001010011101100
32200011002112000211222
4122002020101103230
5424221432304100
620501430002512
72006462443454
oct320210212354
980132460758
1027953009900
1110944822082
1255014a6438
13283627765a
1414d263ad64
15ad9083485
hex6822114ec

27953009900 has 36 divisors (see below), whose sum is σ = 64226154888. Its totient is φ = 10523485440.

The previous prime is 27953009869. The next prime is 27953009927. The reversal of 27953009900 is 990035972.

It is an unprimeable number.

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, 8219774 + ... + 8223173.

It is an arithmetic number, because the mean of its divisors is an integer number (1784059858).

Almost surely, 227953009900 is an apocalyptic number.

27953009900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27953009900 is an abundant number, since it is smaller than the sum of its proper divisors (36273144988).

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

27953009900 is a wasteful number, since it uses less digits than its factorization.

27953009900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16442978 (or 16442971 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 44.

The spelling of 27953009900 in words is "twenty-seven billion, nine hundred fifty-three million, nine thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 16442947 32885894 65771788 82214735 164429470 279530099 328858940 411073675 559060198 822147350 1118120396 1397650495 1644294700 2795300990 5590601980 6988252475 13976504950 27953009900