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136640122776 = 23353116713577
BaseRepresentation
bin111111101000001100…
…0101100111110011000
3111001200200111102200000
41333100120230332120
54214314332412101
6142434400013000
712605032610613
oct1772030547630
9431620442600
10136640122776
1152a48872703
1222594601160
13cb67776871
14688330717a
15384ac92486
hex1fd062cf98

136640122776 has 192 divisors, whose sum is σ = 398554490880. Its totient is φ = 43810295040.

The previous prime is 136640122757. The next prime is 136640122789. The reversal of 136640122776 is 677221046631.

136640122776 is a `hidden beast` number, since 1 + 366 + 4 + 0 + 12 + 277 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10057300 + ... + 10070876.

It is an arithmetic number, because the mean of its divisors is an integer number (2075804640).

Almost surely, 2136640122776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136640122776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199277245440).

136640122776 is an abundant number, since it is smaller than the sum of its proper divisors (261914368104).

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

136640122776 is a wasteful number, since it uses less digits than its factorization.

136640122776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13796 (or 13780 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 136640122776 in words is "one hundred thirty-six billion, six hundred forty million, one hundred twenty-two thousand, seven hundred seventy-six".