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58531829136 = 243113713122871
BaseRepresentation
bin110110100000110001…
…001101010110010000
312121002011221222221120
4312200301031112100
51424333122013021
642520020122240
74141321224114
oct664061152620
9177064858846
1058531829136
1122906767610
12b416236380
13569a530631
142b938b7744
1517c88e42c6
hexda0c4d590

58531829136 has 160 divisors (see below), whose sum is σ = 170712216576. Its totient is φ = 17125056000.

The previous prime is 58531829129. The next prime is 58531829177. The reversal of 58531829136 is 63192813585.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2547781 + ... + 2570651.

Almost surely, 258531829136 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 58531829136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85356108288).

58531829136 is an abundant number, since it is smaller than the sum of its proper divisors (112180387440).

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

58531829136 is a wasteful number, since it uses less digits than its factorization.

58531829136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23061 (or 23055 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The spelling of 58531829136 in words is "fifty-eight billion, five hundred thirty-one million, eight hundred twenty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 131 132 148 176 222 262 264 296 393 407 444 524 528 592 786 814 888 1048 1221 1441 1572 1628 1776 2096 2442 2882 3144 3256 4323 4847 4884 5764 6288 6512 8646 9694 9768 11528 14541 17292 19388 19536 22871 23056 29082 34584 38776 45742 53317 58164 68613 69168 77552 91484 106634 116328 137226 159951 182968 213268 232656 251581 274452 319902 365936 426536 503162 548904 639804 754743 846227 853072 1006324 1097808 1279608 1509486 1692454 2012648 2538681 2559216 2996101 3018972 3384908 4025296 5077362 5992202 6037944 6769816 8988303 9308497 10154724 11984404 12075888 13539632 17976606 18616994 20309448 23968808 27925491 32957111 35953212 37233988 40618896 47937616 55850982 65914222 71906424 74467976 98871333 110855737 111701964 131828444 143812848 148935952 197742666 221711474 223403928 263656888 332567211 395485332 443422948 446807856 527313776 665134422 790970664 886845896 1219413107 1330268844 1581941328 1773691792 2438826214 2660537688 3658239321 4877652428 5321075376 7316478642 9755304856 14632957284 19510609712 29265914568 58531829136