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8090570772 = 2232331821827
BaseRepresentation
bin1111000100011110…
…00101000000010100
3202212211211120122100
413202033011000110
5113032141231042
63414453002100
7404330500614
oct74217050024
922784746570
108090570772
113481a09629
121699623330
139bc234aab
1456a722a44
1532543b24c
hex1e23c5014

8090570772 has 72 divisors (see below), whose sum is σ = 20562770592. Its totient is φ = 2682187200.

The previous prime is 8090570749. The next prime is 8090570783. The reversal of 8090570772 is 2770750908.

8090570772 is a `hidden beast` number, since 8 + 0 + 9 + 0 + 570 + 7 + 72 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9782623 + ... + 9783449.

It is an arithmetic number, because the mean of its divisors is an integer number (285594036).

Almost surely, 28090570772 is an apocalyptic number.

It is an amenable number.

8090570772 is an abundant number, since it is smaller than the sum of its proper divisors (12472199820).

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

8090570772 is a wasteful number, since it uses less digits than its factorization.

8090570772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 8090570772 is about 89947.6001458627. The cubic root of 8090570772 is about 2007.5192592755.

The spelling of 8090570772 in words is "eight billion, ninety million, five hundred seventy thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 331 662 821 827 993 1324 1642 1654 1986 2463 2481 2979 3284 3308 3972 4926 4962 5958 7389 7443 9852 9924 11916 14778 14886 29556 29772 271751 273737 543502 547474 678967 815253 821211 1087004 1094948 1357934 1630506 1642422 2036901 2445759 2463633 2715868 3261012 3284844 4073802 4891518 4927266 6110703 8147604 9783036 9854532 12221406 24442812 224738077 449476154 674214231 898952308 1348428462 2022642693 2696856924 4045285386 8090570772