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73980192049 = 101226932
BaseRepresentation
bin100010011100110010…
…0000010010100110001
321001221210210010220221
41010321210002110301
52203002412121144
653552552133041
75226204154051
oct1047144022461
9231853703827
1073980192049
1129413987295
1212407997181
136c8cc2218a
14381b491561
151dcec71d84
hex1139902531

73980192049 has 9 divisors (see below), whose sum is σ = 74747677729. Its totient is φ = 73220515600.

The previous prime is 73980191963. The next prime is 73980192053. The reversal of 73980192049 is 94029108937.

It is a happy number.

The square root of 73980192049 is 271993.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16748242225 + 57231949824 = 129415^2 + 239232^2 .

It is not a de Polignac number, because 73980192049 - 27 = 73980191921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73980191987 and 73980192005.

It is not an unprimeable number, because it can be changed into a prime (73980192059) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27469947 + ... + 27472639.

Almost surely, 273980192049 is an apocalyptic number.

73980192049 is the 271993-rd square number.

73980192049 is the 135997-th centered octagonal number.

It is an amenable number.

73980192049 is a deficient number, since it is larger than the sum of its proper divisors (767485680).

73980192049 is an frugal number, since it uses more digits than its factorization.

73980192049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 73980192049 in words is "seventy-three billion, nine hundred eighty million, one hundred ninety-two thousand, forty-nine".

Divisors: 1 101 2693 10201 271993 7252249 27471293 732477149 73980192049