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8073680058 = 2325315715387
BaseRepresentation
bin1111000010011101…
…01001010010111010
3202211200001102221100
413201032221102322
5113013330230213
63413050552230
7404034101553
oct74116512272
922750042840
108073680058
113473422364
121693a38676
139b889c9a2
145683a732a
15323c01773
hex1e13a94ba

8073680058 has 48 divisors (see below), whose sum is σ = 17837685216. Its totient is φ = 2638278240.

The previous prime is 8073680057. The next prime is 8073680063. The reversal of 8073680058 is 8500863708.

It is a junction number, because it is equal to n+sod(n) for n = 8073679995 and 8073680022.

It is not an unprimeable number, because it can be changed into a prime (8073680057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1496041 + ... + 1501427.

It is an arithmetic number, because the mean of its divisors is an integer number (371618442).

Almost surely, 28073680058 is an apocalyptic number.

8073680058 is an abundant number, since it is smaller than the sum of its proper divisors (9764005158).

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

8073680058 is a wasteful number, since it uses less digits than its factorization.

8073680058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7019 (or 7016 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 8073680058 is about 89853.6591241559. The cubic root of 8073680058 is about 2006.1212508638.

The spelling of 8073680058 in words is "eight billion, seventy-three million, six hundred eighty thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 1571 3142 4713 5387 9426 10774 14139 16161 28278 32322 48483 83263 96966 166526 249789 285511 499578 571022 749367 856533 1498734 1713066 2569599 5139198 8462977 16925954 25388931 50777862 76166793 152333586 448537781 897075562 1345613343 2691226686 4036840029 8073680058