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58090764977888 = 25311132631970431
BaseRepresentation
bin11010011010101010011110…
…11010010100011011100000
321121200102102021212021111212
431031111033122110123200
530103224341313243023
6323314310133525252
715143630211134216
oct1515251732243340
9247612367767455
1058090764977888
1117567178452645
1266224677a3828
132654c21779436
14104b8725d4cb6
156ab11a1abe78
hex34d54f6946e0

58090764977888 has 96 divisors (see below), whose sum is σ = 119553076887552. Its totient is φ = 27753743001600.

The previous prime is 58090764977813. The next prime is 58090764977957. The reversal of 58090764977888 is 88877946709085.

58090764977888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28496033 + ... + 30466463.

It is an arithmetic number, because the mean of its divisors is an integer number (1245344550912).

Almost surely, 258090764977888 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 58090764977888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59776538443776).

58090764977888 is an abundant number, since it is smaller than the sum of its proper divisors (61462311909664).

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

58090764977888 is a wasteful number, since it uses less digits than its factorization.

58090764977888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970848 (or 1970840 counting only the distinct ones).

The product of its (nonzero) digits is 13655900160, while the sum is 86.

The spelling of 58090764977888 in words is "fifty-eight trillion, ninety billion, seven hundred sixty-four million, nine hundred seventy-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 31 32 62 113 124 226 248 263 452 496 526 904 992 1052 1808 2104 3503 3616 4208 7006 8153 8416 14012 16306 28024 29719 32612 56048 59438 65224 112096 118876 130448 237752 260896 475504 921289 951008 1842578 1970431 3685156 3940862 7370312 7881724 14740624 15763448 29481248 31526896 61083361 63053792 122166722 222658703 244333444 445317406 488666888 518223353 890634812 977333776 1036446706 1781269624 1954667552 2072893412 3562539248 4145786824 6902419793 7125078496 8291573648 13804839586 16064923943 16583147296 27609679172 32129847886 55219358344 58559238889 64259695772 110438716688 117118477778 128519391544 220877433376 234236955556 257038783088 468473911112 514077566176 936947822224 1815336405559 1873895644448 3630672811118 7261345622236 14522691244472 29045382488944 58090764977888