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2058613608 = 2334119910513
BaseRepresentation
bin111101010110011…
…1111001101101000
312022110122101222110
41322230333031220
513204001113413
6540135122320
7102004632642
oct17254771550
95273571873
102058613608
11967040967
124955133a0
1326a65a27c
14157595892
15c0ade8c3
hex7ab3f368

2058613608 has 64 divisors (see below), whose sum is σ = 5299056000. Its totient is φ = 666040320.

The previous prime is 2058613607. The next prime is 2058613631. The reversal of 2058613608 is 8063168502.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2058613607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190560 + ... + 201072.

It is an arithmetic number, because the mean of its divisors is an integer number (82797750).

Almost surely, 22058613608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2058613608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649528000).

2058613608 is an abundant number, since it is smaller than the sum of its proper divisors (3240442392).

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

2058613608 is a wasteful number, since it uses less digits than its factorization.

2058613608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10762 (or 10758 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2058613608 is about 45371.9473683905. The cubic root of 2058613608 is about 1272.1108196238.

The spelling of 2058613608 in words is "two billion, fifty-eight million, six hundred thirteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 199 246 328 398 492 597 796 984 1194 1592 2388 4776 8159 10513 16318 21026 24477 31539 32636 42052 48954 63078 65272 84104 97908 126156 195816 252312 431033 862066 1293099 1724132 2092087 2586198 3448264 4184174 5172396 6276261 8368348 10344792 12552522 16736696 25105044 50210088 85775567 171551134 257326701 343102268 514653402 686204536 1029306804 2058613608