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58088854144 = 2729734632
BaseRepresentation
bin110110000110010111…
…011001001010000000
312112221022102112111101
4312012113121022000
51422431221313034
642404033424144
74124332053616
oct660627311200
9175838375441
1058088854144
11226a9709982
12b311a0b054
135629823359
142b50b276b6
15179ea92514
hexd865d9280

58088854144 has 96 divisors (see below), whose sum is σ = 121616961300. Its totient is φ = 27599007744.

The previous prime is 58088854121. The next prime is 58088854169. The reversal of 58088854144 is 44145888085.

It can be written as a sum of positive squares in 2 ways, for example, as 57965377600 + 123476544 = 240760^2 + 11112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125461657 + ... + 125462119.

Almost surely, 258088854144 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 58088854144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60808480650).

58088854144 is an abundant number, since it is smaller than the sum of its proper divisors (63528107156).

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

58088854144 is an frugal number, since it uses more digits than its factorization.

58088854144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 6553600, while the sum is 55.

The spelling of 58088854144 in words is "fifty-eight billion, eighty-eight million, eight hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 73 116 128 146 232 292 463 464 584 926 928 1168 1852 1856 2117 2336 3704 3712 4234 4672 7408 8468 9344 13427 14816 16936 26854 29632 33799 33872 53708 59264 67598 67744 107416 135196 135488 214369 214832 270392 270976 428738 429664 540784 857476 859328 980171 1081568 1714952 1718656 1960342 2163136 3429904 3920684 4326272 6216701 6859808 7841368 12433402 13719616 15648937 15682736 24866804 27439232 31297874 31365472 49733608 62595748 62730944 99467216 125191496 125461888 198934432 250382992 397868864 453819173 500765984 795737728 907638346 1001531968 1815276692 2003063936 3630553384 7261106768 14522213536 29044427072 58088854144