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5073993705 = 3511372233727
BaseRepresentation
bin1001011100110111…
…01111111111101001
3111002121121120211210
410232123233333221
540342420244310
62155253143333
7236511143364
oct45633577751
914077546753
105073993705
112174156630
12b9732ab49
1362b298151
14361c430db
151ea6c0820
hex12e6effe9

5073993705 has 64 divisors (see below), whose sum is σ = 9139027968. Its totient is φ = 2382255360.

The previous prime is 5073993697. The next prime is 5073993707.

5073993705 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5073993705 - 23 = 5073993697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5073993707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1359552 + ... + 1363278.

It is an arithmetic number, because the mean of its divisors is an integer number (142797312).

Almost surely, 25073993705 is an apocalyptic number.

5073993705 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5073993705 is a deficient number, since it is larger than the sum of its proper divisors (4065034263).

5073993705 is a wasteful number, since it uses less digits than its factorization.

5073993705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006.

The product of its (nonzero) digits is 893025, while the sum is 48.

The square root of 5073993705 is about 71231.9710874267. The cubic root of 5073993705 is about 1718.3698392175.

The spelling of 5073993705 in words is "five billion, seventy-three million, nine hundred ninety-three thousand, seven hundred five".

Divisors: 1 3 5 11 15 33 37 55 111 165 185 223 407 555 669 1115 1221 2035 2453 3345 3727 6105 7359 8251 11181 12265 18635 24753 36795 40997 41255 55905 90761 122991 123765 137899 204985 272283 413697 453805 614955 689495 831121 1361415 1516889 2068485 2493363 4155605 4550667 7584445 9142331 12466815 22753335 27426993 30751477 45711655 92254431 137134965 153757385 338266247 461272155 1014798741 1691331235 5073993705