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2058142016 = 26719241793
BaseRepresentation
bin111101010101100…
…1100000101000000
312022102202110002002
41322223030011000
513203341021031
6540121043132
7102000630020
oct17253140500
95272673062
102058142016
11966849617
124953264a8
1326a523718
141574b1a80
15c0a49ccb
hex7aacc140

2058142016 has 56 divisors (see below), whose sum is σ = 4913254080. Its totient is φ = 835633152.

The previous prime is 2058141973. The next prime is 2058142039. The reversal of 2058142016 is 6102418502.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 2058142016.

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 7 ways as a sum of consecutive naturals, for example, 112385 + ... + 129408.

It is an arithmetic number, because the mean of its divisors is an integer number (87736680).

Almost surely, 22058142016 is an apocalyptic number.

It is an amenable number.

2058142016 is an abundant number, since it is smaller than the sum of its proper divisors (2855112064).

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

2058142016 is a wasteful number, since it uses less digits than its factorization.

2058142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241831 (or 241821 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 2058142016 is about 45366.7501150347. The cubic root of 2058142016 is about 1272.0136728354.

The spelling of 2058142016 in words is "two billion, fifty-eight million, one hundred forty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 241793 483586 967172 1692551 1934344 3385102 3868688 4594067 6770204 7737376 9188134 13540408 15474752 18376268 27080816 32158469 36752536 54161632 64316938 73505072 108323264 128633876 147010144 257267752 294020288 514535504 1029071008 2058142016