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8010080784 = 2432411356721
BaseRepresentation
bin1110111010111000…
…00010001000010000
3202200020101021010200
413131130002020100
5112401040041114
63402455455200
7402332364126
oct73534021020
922606337120
108010080784
113440533282
121676687500
139a8662694
1455db6d916
1531d33c409
hex1dd702210

8010080784 has 60 divisors (see below), whose sum is σ = 22963876572. Its totient is φ = 2604902400.

The previous prime is 8010080783. The next prime is 8010080821. The reversal of 8010080784 is 4870800108.

It can be written as a sum of positive squares in 2 ways, for example, as 3240797184 + 4769283600 = 56928^2 + 69060^2 .

It is a super-2 number, since 2×80100807842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8010080783) 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 11 ways as a sum of consecutive naturals, for example, 672457 + ... + 684264.

Almost surely, 28010080784 is an apocalyptic number.

It is an amenable number.

8010080784 is an abundant number, since it is smaller than the sum of its proper divisors (14953795788).

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

8010080784 is a wasteful number, since it uses less digits than its factorization.

8010080784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356776 (or 1356767 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 8010080784 is about 89499.0546542253. The cubic root of 8010080784 is about 2000.8397127253.

The spelling of 8010080784 in words is "eight billion, ten million, eighty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 1356721 2713442 4070163 5426884 8140326 10853768 12210489 16280652 21707536 24420978 32561304 48841956 55625561 65122608 97683912 111251122 166876683 195367824 222502244 333753366 445004488 500630049 667506732 890008976 1001260098 1335013464 2002520196 2670026928 4005040392 8010080784