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136776492000 = 25335317234179
BaseRepresentation
bin111111101100010000…
…0111010001111100000
3111002001012002201002000
41333120200322033200
54220104240221000
6142500110524000
712611306666541
oct1773040721740
9432035081060
10136776492000
1153008844945
1222612206600
13cb89ab2405
1468974844c8
153857c2d000
hex1fd883a3e0

136776492000 has 1536 divisors, whose sum is σ = 570621542400. Its totient is φ = 31629312000.

The previous prime is 136776491989. The next prime is 136776492019. The reversal of 136776492000 is 294677631.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 1731347961 + ... + 1731348039.

It is an arithmetic number, because the mean of its divisors is an integer number (371498400).

Almost surely, 2136776492000 is an apocalyptic number.

136776492000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136776492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285310771200).

136776492000 is an abundant number, since it is smaller than the sum of its proper divisors (433845050400).

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

136776492000 is a wasteful number, since it uses less digits than its factorization.

136776492000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 136776492000 in words is "one hundred thirty-six billion, seven hundred seventy-six million, four hundred ninety-two thousand".