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248424843030 = 235713202744893
BaseRepresentation
bin1110011101011101000…
…1100100011100010110
3212202020011011120222020
43213113101210130112
513032233224434110
6310042542314010
723643125216250
oct3472721443426
9782204146866
10248424843030
11963a1390531
1240190b88906
131a570943a50
14c049546cd0
1566de8c5d70
hex39d7464716

248424843030 has 128 divisors (see below), whose sum is σ = 734187138048. Its totient is φ = 52387886592.

The previous prime is 248424842983. The next prime is 248424843031. The reversal of 248424843030 is 30348424842.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248424843031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5511264 + ... + 5556156.

It is an arithmetic number, because the mean of its divisors is an integer number (5735837016).

Almost surely, 2248424843030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248424843030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367093569024).

248424843030 is an abundant number, since it is smaller than the sum of its proper divisors (485762295018).

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

248424843030 is a wasteful number, since it uses less digits than its factorization.

248424843030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46950.

The product of its (nonzero) digits is 589824, while the sum is 42.

The spelling of 248424843030 in words is "two hundred forty-eight billion, four hundred twenty-four million, eight hundred forty-three thousand, thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2027 2730 4054 6081 10135 12162 14189 20270 26351 28378 30405 42567 44893 52702 60810 70945 79053 85134 89786 131755 134679 141890 158106 184457 212835 224465 263510 269358 314251 368914 395265 425670 448930 553371 583609 628502 673395 790530 922285 942753 1106742 1167218 1346790 1571255 1750827 1844570 1885506 2766855 2918045 3142510 3501654 4085263 4713765 5533710 5836090 8170526 8754135 9427530 12255789 17508270 20426315 24511578 40852630 61278945 90998111 122557890 181996222 272994333 454990555 545988666 636986777 909981110 1182975443 1273973554 1364971665 1910960331 2365950886 2729943330 3184933885 3548926329 3821920662 5914877215 6369867770 7097852658 8280828101 9554801655 11829754430 16561656202 17744631645 19109603310 24842484303 35489263290 41404140505 49684968606 82808281010 124212421515 248424843030