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80507000745 = 32537241313641
BaseRepresentation
bin100101011111010010…
…1110101011110101001
321200210200010101021100
41022332211311132221
52304334243010440
6100552344232013
75550016133613
oct1127645653651
9250720111240
1080507000745
1131163115266
121372976b609
13779019b562
143c7a233db3
152162c6b230
hex12be9757a9

80507000745 has 96 divisors (see below), whose sum is σ = 144596653344. Its totient is φ = 41405644800.

The previous prime is 80507000741. The next prime is 80507000779. The reversal of 80507000745 is 54700070508.

80507000745 is a `hidden beast` number, since 80 + 507 + 0 + 0 + 0 + 74 + 5 = 666.

80507000745 is a nontrivial binomial coefficient, being equal to C(401266, 2).

It can be written as a sum of positive squares in 16 ways, for example, as 3926400921 + 76580599824 = 62661^2 + 276732^2 .

It is not a de Polignac number, because 80507000745 - 22 = 80507000741 is a prime.

It is not an unprimeable number, because it can be changed into a prime (80507000741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125595625 + ... + 125596265.

It is an arithmetic number, because the mean of its divisors is an integer number (1506215139).

Almost surely, 280507000745 is an apocalyptic number.

80507000745 is the 401265-th triangular number and also the 200633-rd hexagonal number.

It is an amenable number.

80507000745 is a deficient number, since it is larger than the sum of its proper divisors (64089652599).

80507000745 is a wasteful number, since it uses less digits than its factorization.

80507000745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 80507000745 in words is "eighty billion, five hundred seven million, seven hundred forty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 37 45 111 185 241 313 333 555 641 723 939 1205 1565 1665 1923 2169 2817 3205 3615 4695 5769 8917 9615 10845 11581 14085 23717 26751 28845 34743 44585 57905 71151 75433 80253 104229 118585 133755 154481 173715 200633 213453 226299 355755 377165 401265 463443 521145 601899 678897 772405 1003165 1067265 1131495 1390329 1805697 2317215 2791021 3009495 3394485 5715797 6951645 7423421 8373063 9028485 13955105 17147391 22270263 25119189 28578985 37117105 41865315 48352553 51442173 66810789 85736955 111351315 125595945 145057659 241762765 257210865 334053945 435172977 725288295 1789044461 2175864885 5367133383 8945222305 16101400149 26835666915 80507000745