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136642505200 = 24521917979277
BaseRepresentation
bin111111101000010000…
…1110010100111110000
3111001200211222110201221
41333100201302213300
54214320440131300
6142434523034424
712605062062505
oct1772041624760
9431624873657
10136642505200
1152a4a14a653
122259536ba14
13cb680cc096
1468837674ac
15384b0b331a
hex1fd08729f0

136642505200 has 60 divisors (see below), whose sum is σ = 345561723160. Its totient is φ = 51780314880.

The previous prime is 136642505179. The next prime is 136642505239. The reversal of 136642505200 is 2505246631.

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 11 ways as a sum of consecutive naturals, for example, 8982039 + ... + 8997238.

Almost surely, 2136642505200 is an apocalyptic number.

136642505200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136642505200 is an abundant number, since it is smaller than the sum of its proper divisors (208919217960).

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

136642505200 is a wasteful number, since it uses less digits than its factorization.

136642505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17979314 (or 17979303 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 136642505200 in words is "one hundred thirty-six billion, six hundred forty-two million, five hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 17979277 35958554 71917108 89896385 143834216 179792770 287668432 341606263 359585540 449481925 683212526 719171080 898963850 1366425052 1438342160 1708031315 1797927700 2732850104 3416062630 3595855400 5465700208 6832125260 7191710800 8540156575 13664250520 17080313150 27328501040 34160626300 68321252600 136642505200