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73672020096 = 2731291148609
BaseRepresentation
bin100010010011100110…
…0011101000010000000
321001011022220101110220
41010213030131002000
52201340014120341
653502223023040
75215442560413
oct1044714350200
9231138811426
1073672020096
1129275a31124
121234073aa80
136c411228cc
1437cc591b7a
151db2b9ba66
hex112731d080

73672020096 has 64 divisors (see below), whose sum is σ = 195844202400. Its totient is φ = 24538152960.

The previous prime is 73672020091. The next prime is 73672020139. The reversal of 73672020096 is 69002027637.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (73672020091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421440 + ... + 570048.

Almost surely, 273672020096 is an apocalyptic number.

It is an amenable number.

73672020096 is an abundant number, since it is smaller than the sum of its proper divisors (122172182304).

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

73672020096 is a wasteful number, since it uses less digits than its factorization.

73672020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149917 (or 149905 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 73672020096 in words is "seventy-three billion, six hundred seventy-two million, twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1291 2582 3873 5164 7746 10328 15492 20656 30984 41312 61968 82624 123936 148609 165248 247872 297218 445827 495744 594436 891654 1188872 1783308 2377744 3566616 4755488 7133232 9510976 14266464 19021952 28532928 57065856 191854219 383708438 575562657 767416876 1151125314 1534833752 2302250628 3069667504 4604501256 6139335008 9209002512 12278670016 18418005024 24557340032 36836010048 73672020096