Search a number
-
+
58830157637300 = 225274391741109961
BaseRepresentation
bin11010110000001011101101…
…01001011110011010110100
321201022002220211121010002102
431120011312221132122310
530202333130323343200
6325042111252401232
715251224102060250
oct1530056651363264
9251262824533072
1058830157637300
1117821803318305
126721818916218
1326a98771ccaaa
14107557556d260
156c049277d6d5
hex358176a5e6b4

58830157637300 has 144 divisors (see below), whose sum is σ = 146316457647360. Its totient is φ = 20112651648000.

The previous prime is 58830157637233. The next prime is 58830157637341. The reversal of 58830157637300 is 373675103885.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534954320 + ... + 535064280.

It is an arithmetic number, because the mean of its divisors is an integer number (1016086511440).

Almost surely, 258830157637300 is an apocalyptic number.

58830157637300 is a gapful number since it is divisible by the number (50) 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 58830157637300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73158228823680).

58830157637300 is an abundant number, since it is smaller than the sum of its proper divisors (87486300010060).

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

58830157637300 is a wasteful number, since it uses less digits than its factorization.

58830157637300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112162 (or 112155 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 56.

The spelling of 58830157637300 in words is "fifty-eight trillion, eight hundred thirty billion, one hundred fifty-seven million, six hundred thirty-seven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 439 700 878 1741 1756 2195 3073 3482 4390 6146 6964 8705 8780 10975 12187 12292 15365 17410 21950 24374 30730 34820 43525 43900 48748 60935 61460 76825 87050 109961 121870 153650 174100 219922 243740 304675 307300 439844 549805 609350 764299 769727 1099610 1218700 1528598 1539454 2199220 2749025 3057196 3078908 3821495 3848635 5350093 5498050 7642990 7697270 10700186 10996100 15285980 15394540 19107475 19243175 21400372 26750465 38214950 38486350 48272879 53500930 76429900 76972700 96545758 107001860 133752325 191442101 193091516 241364395 267504650 337910153 382884202 482728790 535009300 675820306 765768404 957210505 965457580 1206821975 1340094707 1351640612 1689550765 1914421010 2413643950 2680189414 3379101530 3828842020 4786052525 4827287900 5360378828 6700473535 6758203060 8447753825 9572105050 13400947070 16895507650 19144210100 26801894140 33502367675 33791015300 67004735350 84043082339 134009470700 168086164678 336172329356 420215411695 588301576373 840430823390 1176603152746 1680861646780 2101077058475 2353206305492 2941507881865 4202154116950 5883015763730 8404308233900 11766031527460 14707539409325 29415078818650 58830157637300