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4426968780 = 223251310717681
BaseRepresentation
bin1000001111101111…
…00010111011001100
3102102112010022111200
410013313202323030
533031301000110
62011141145500
7214463420343
oct40767427314
912375108450
104426968780
1119719aa193
12a366bb290
13557216370
142ddd38b5a
151ad9b46c0
hex107de2ecc

4426968780 has 144 divisors (see below), whose sum is σ = 14597410464. Its totient is φ = 1079470080.

The previous prime is 4426968779. The next prime is 4426968797. The reversal of 4426968780 is 878696244.

4426968780 is a `hidden beast` number, since 442 + 69 + 68 + 7 + 80 = 666.

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, 241540 + ... + 259220.

It is an arithmetic number, because the mean of its divisors is an integer number (101370906).

Almost surely, 24426968780 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 4426968780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7298705232).

4426968780 is an abundant number, since it is smaller than the sum of its proper divisors (10170441684).

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

4426968780 is a wasteful number, since it uses less digits than its factorization.

4426968780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17816 (or 17811 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 4426968780 is about 66535.4700892689. The cubic root of 4426968780 is about 1641.9836175492.

The spelling of 4426968780 in words is "four billion, four hundred twenty-six million, nine hundred sixty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 107 117 130 156 180 195 214 234 260 321 390 428 468 535 585 642 780 963 1070 1170 1284 1391 1605 1926 2140 2340 2782 3210 3852 4173 4815 5564 6420 6955 8346 9630 12519 13910 16692 17681 19260 20865 25038 27820 35362 41730 50076 53043 62595 70724 83460 88405 106086 125190 159129 176810 212172 229853 250380 265215 318258 353620 459706 530430 636516 689559 795645 919412 1060860 1149265 1379118 1591290 1891867 2068677 2298530 2758236 3182580 3447795 3783734 4137354 4597060 5675601 6895590 7567468 8274708 9459335 10343385 11351202 13791180 17026803 18918670 20686770 22702404 24594271 28378005 34053606 37837340 41373540 49188542 56756010 68107212 73782813 85134015 98377084 113512020 122971355 147565626 170268030 221348439 245942710 295131252 340536060 368914065 442696878 491885420 737828130 885393756 1106742195 1475656260 2213484390 4426968780