Search a number
-
+
42603660420 = 22354710121481
BaseRepresentation
bin100111101011011000…
…000100010010000100
311001222010022012010220
4213223120010102010
51144223014113140
631323304144340
73035521065336
oct475330042204
9131863265126
1042603660420
1117082723712
12830ba680b0
13402c607629
1420c22c3456
15119538bbd0
hex9eb604484

42603660420 has 144 divisors (see below), whose sum is σ = 123129586944. Its totient is φ = 11001728000.

The previous prime is 42603660389. The next prime is 42603660469. The reversal of 42603660420 is 2406630624.

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, 28766080 + ... + 28767560.

It is an arithmetic number, because the mean of its divisors is an integer number (855066576).

Almost surely, 242603660420 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 42603660420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61564793472).

42603660420 is an abundant number, since it is smaller than the sum of its proper divisors (80525926524).

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

42603660420 is a wasteful number, since it uses less digits than its factorization.

42603660420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 42603660420 in words is "forty-two billion, six hundred three million, six hundred sixty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 101 141 188 202 235 282 303 404 470 505 564 606 705 940 1010 1212 1410 1481 1515 2020 2820 2962 3030 4443 4747 5924 6060 7405 8886 9494 10201 14241 14810 17772 18988 20402 22215 23735 28482 29620 30603 40804 44430 47470 51005 56964 61206 69607 71205 88860 94940 102010 122412 139214 142410 149581 153015 204020 208821 278428 284820 299162 306030 348035 417642 448743 479447 598324 612060 696070 747905 835284 897486 958894 1044105 1392140 1438341 1495810 1794972 1917788 2088210 2243715 2397235 2876682 2991620 4176420 4487430 4794470 5753364 7030307 7191705 8974860 9588940 14060614 14383410 15107681 21090921 28121228 28766820 30215362 35151535 42181842 45323043 60430724 70303070 75538405 84363684 90646086 105454605 140606140 151076810 181292172 210909210 226615215 302153620 421818420 453230430 710061007 906460860 1420122014 2130183021 2840244028 3550305035 4260366042 7100610070 8520732084 10650915105 14201220140 21301830210 42603660420