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136649211984 = 2432832139991
BaseRepresentation
bin111111101000011101…
…1011000000001010000
3111001201022121012201100
41333100323120001100
54214324144240414
6142435322504400
712605203065015
oct1772073300120
9431638535640
10136649211984
1152a52a1054a
1222597665100
13cb696099ac
1468845d170c
15384b98a609
hex1fd0ed8050

136649211984 has 180 divisors, whose sum is σ = 390269326720. Its totient is φ = 44632114560.

The previous prime is 136649211983. The next prime is 136649211989. The reversal of 136649211984 is 489112946631.

136649211984 is a `hidden beast` number, since 1 + 3 + 66 + 492 + 1 + 1 + 98 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 136649211984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136649211983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 137889729 + ... + 137890719.

Almost surely, 2136649211984 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 136649211984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195134663360).

136649211984 is an abundant number, since it is smaller than the sum of its proper divisors (253620114736).

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

136649211984 is a wasteful number, since it uses less digits than its factorization.

136649211984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1218 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 136649211984 in words is "one hundred thirty-six billion, six hundred forty-nine million, two hundred eleven thousand, nine hundred eighty-four".