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136873103328 = 25321336557987
BaseRepresentation
bin111111101111001000…
…1011100111111100000
3111002021220220001220100
41333132101130333200
54220304003301303
6142513441342400
712613562116323
oct1773621347740
9432256801810
10136873103328
1153058331415
122263a637a00
13cba3b0a690
1468a62327ba
1538614638a3
hex1fde45cfe0

136873103328 has 72 divisors (see below), whose sum is σ = 419173890408. Its totient is φ = 42114799872.

The previous prime is 136873103327. The next prime is 136873103329. The reversal of 136873103328 is 823301378631.

136873103328 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 7 + 310 + 3 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (136873103327) and next prime (136873103329).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×1368731033283 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136873103327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18275250 + ... + 18282737.

It is an arithmetic number, because the mean of its divisors is an integer number (5821859589).

Almost surely, 2136873103328 is an apocalyptic number.

136873103328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

136873103328 is an abundant number, since it is smaller than the sum of its proper divisors (282300787080).

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

136873103328 is a wasteful number, since it uses less digits than its factorization.

136873103328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36558016 (or 36558005 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 136873103328 in words is "one hundred thirty-six billion, eight hundred seventy-three million, one hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 36557987 73115974 109673961 146231948 219347922 292463896 329021883 438695844 475253831 584927792 658043766 877391688 950507662 1169855584 1316087532 1425761493 1754783376 1901015324 2632175064 2851522986 3509566752 3802030648 4277284479 5264350128 5703045972 7604061296 8554568958 10528700256 11406091944 15208122592 17109137916 22812183888 34218275832 45624367776 68436551664 136873103328