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136741822632 = 233237101508213
BaseRepresentation
bin111111101011001110…
…0101010000010101000
3111001221202212022122100
41333112130222002220
54220021401311012
6142452431453400
712610406212632
oct1772634520250
9431852768570
10136741822632
1152aa0215278
1222602687260
13cb82863cac
146892a1ba52
153854b808dc
hex1fd672a0a8

136741822632 has 96 divisors (see below), whose sum is σ = 384118305480. Its totient is φ = 43909516800.

The previous prime is 136741822601. The next prime is 136741822661. The reversal of 136741822632 is 236228147631.

136741822632 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 4 + 1 + 8 + 2 + 2 + 632 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 133916474916 + 2825347716 = 365946^2 + 53154^2 .

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 23 ways as a sum of consecutive naturals, for example, 14958 + ... + 523170.

Almost surely, 2136741822632 is an apocalyptic number.

136741822632 is a gapful number since it is divisible by the number (12) 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 136741822632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192059152740).

136741822632 is an abundant number, since it is smaller than the sum of its proper divisors (247376482848).

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

136741822632 is a wasteful number, since it uses less digits than its factorization.

136741822632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508363 (or 508356 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 136741822632 in words is "one hundred thirty-six billion, seven hundred forty-one million, eight hundred twenty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 101 111 148 202 222 296 303 333 404 444 606 666 808 888 909 1212 1332 1818 2424 2664 3636 3737 7272 7474 11211 14948 22422 29896 33633 44844 67266 89688 134532 269064 508213 1016426 1524639 2032852 3049278 4065704 4573917 6098556 9147834 12197112 18295668 18803881 36591336 37607762 51329513 56411643 75215524 102659026 112823286 150431048 153988539 169234929 205318052 225646572 307977078 338469858 410636104 451293144 461965617 615954156 676939716 923931234 1231908312 1353879432 1847862468 1899191981 3695724936 3798383962 5697575943 7596767924 11395151886 15193535848 17092727829 22790303772 34185455658 45580607544 68370911316 136741822632