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58429513792 = 261331921871
BaseRepresentation
bin110110011010101010…
…111010000001000000
312120211001102211200101
4312122222322001000
51424130423420132
642501523132144
74135636446466
oct663252720100
9176731384611
1058429513792
1122863a34581
12b3a7b14054
135682289000
142b84082836
1517be9337e7
hexd9aaba040

58429513792 has 112 divisors (see below), whose sum is σ = 132220614400. Its totient is φ = 25546959360.

The previous prime is 58429513787. The next prime is 58429513801. The reversal of 58429513792 is 29731592485.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2660617 + ... + 2682487.

It is an arithmetic number, because the mean of its divisors is an integer number (1180541200).

Almost surely, 258429513792 is an apocalyptic number.

58429513792 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58429513792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66110307200).

58429513792 is an abundant number, since it is smaller than the sum of its proper divisors (73791100608).

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

58429513792 is a wasteful number, since it uses less digits than its factorization.

58429513792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21941 (or 21905 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 55.

The spelling of 58429513792 in words is "fifty-eight billion, four hundred twenty-nine million, five hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 169 208 247 304 338 416 494 608 676 832 988 1216 1352 1976 2197 2704 3211 3952 4394 5408 6422 7904 8788 10816 12844 15808 17576 21871 25688 35152 41743 43742 51376 70304 83486 87484 102752 140608 166972 174968 205504 284323 333944 349936 415549 568646 667888 699872 831098 1137292 1335776 1399744 1662196 2274584 2671552 3324392 3696199 4549168 5402137 6648784 7392398 9098336 10804274 13297568 14784796 18196672 21608548 26595136 29569592 43217096 48050587 59139184 70227781 86434192 96101174 118278368 140455562 172868384 192202348 236556736 280911124 345736768 384404696 561822248 768809392 912961153 1123644496 1537618784 1825922306 2247288992 3075237568 3651844612 4494577984 7303689224 14607378448 29214756896 58429513792