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27761428120 = 2355911763317
BaseRepresentation
bin11001110110101101…
…011100011010011000
32122122202000200001111
4121312231130122120
5423323411144440
620430423430104
72001645150136
oct316655343230
978582020044
1027761428120
1110856669928
1254692b5334
132805679c5a
1414b500a756
15ac733d4ea
hex676b5c698

27761428120 has 32 divisors (see below), whose sum is σ = 63521917200. Its totient is φ = 10916357248.

The previous prime is 27761428103. The next prime is 27761428133. The reversal of 27761428120 is 2182416772.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5879299 + ... + 5884018.

Almost surely, 227761428120 is an apocalyptic number.

27761428120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27761428120 is an abundant number, since it is smaller than the sum of its proper divisors (35760489080).

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

27761428120 is a wasteful number, since it uses less digits than its factorization.

27761428120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11763387 (or 11763383 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 27761428120 in words is "twenty-seven billion, seven hundred sixty-one million, four hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2360 11763317 23526634 47053268 58816585 94106536 117633170 235266340 470532680 694035703 1388071406 2776142812 3470178515 5552285624 6940357030 13880714060 27761428120