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58754541568 = 211172531873
BaseRepresentation
bin110110101110000010…
…110010100000000000
312121122201000221222011
4312232002302200000
51430312130312233
642554053422304
74146664235362
oct665602624000
9177581027864
1058754541568
1122a10452778
12b47893a994
13570470a838
142bb52ccd32
1517dd2380cd
hexdae0b2800

58754541568 has 144 divisors (see below), whose sum is σ = 127220069340. Its totient is φ = 27113029632.

The previous prime is 58754541523. The next prime is 58754541611. The reversal of 58754541568 is 86514545785.

It can be written as a sum of positive squares in 6 ways, for example, as 35151750144 + 23602791424 = 187488^2 + 153632^2 .

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 11 ways as a sum of consecutive naturals, for example, 31368280 + ... + 31370152.

Almost surely, 258754541568 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 58754541568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63610034670).

58754541568 is an abundant number, since it is smaller than the sum of its proper divisors (68465527772).

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

58754541568 is a wasteful number, since it uses less digits than its factorization.

58754541568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1945 counting only the distinct ones).

The product of its digits is 26880000, while the sum is 58.

The spelling of 58754541568 in words is "fifty-eight billion, seven hundred fifty-four million, five hundred forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 212 256 272 289 424 512 544 578 848 901 1024 1088 1156 1696 1802 1873 2048 2176 2312 3392 3604 3746 4352 4624 6784 7208 7492 8704 9248 13568 14416 14984 15317 17408 18496 27136 28832 29968 30634 31841 34816 36992 54272 57664 59936 61268 63682 73984 99269 108544 115328 119872 122536 127364 147968 198538 230656 239744 245072 254728 295936 397076 461312 479488 490144 509456 541297 591872 794152 922624 958976 980288 1018912 1082594 1588304 1687573 1845248 1917952 1960576 2037824 2165188 3176608 3375146 3835904 3921152 4075648 4330376 6353216 6750292 7842304 8151296 8660752 12706432 13500584 15684608 16302592 17321504 25412864 27001168 28688741 31369216 32605184 34643008 50825728 54002336 57377482 65210368 69286016 101651456 108004672 114754964 138572032 203302912 216009344 229509928 277144064 432018688 459019856 554288128 864037376 918039712 1108576256 1728074752 1836079424 3456149504 3672158848 7344317696 14688635392 29377270784 58754541568