Search a number
-
+
26455146300 = 223252112672237
BaseRepresentation
bin11000101000110110…
…010111111100111100
32112021201000200021100
4120220312113330330
5413140004140200
620053041333100
71624404014262
oct305066277474
975251020240
1026455146300
1110246270a80
125163937190
132657b5292b
1413cd732432
15a4c80bd00
hex628d97f3c

26455146300 has 108 divisors (see below), whose sum is σ = 90460600776. Its totient is φ = 6413366400.

The previous prime is 26455146281. The next prime is 26455146301. The reversal of 26455146300 is 364155462.

26455146300 is a `hidden beast` number, since 2 + 6 + 4 + 5 + 5 + 14 + 630 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26455146301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1326219 + ... + 1346018.

Almost surely, 226455146300 is an apocalyptic number.

26455146300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26455146300 is an abundant number, since it is smaller than the sum of its proper divisors (64005454476).

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

26455146300 is a wasteful number, since it uses less digits than its factorization.

26455146300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672268 (or 2672258 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 26455146300 in words is "twenty-six billion, four hundred fifty-five million, one hundred forty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 2672237 5344474 8016711 10688948 13361185 16033422 24050133 26722370 29394607 32066844 40083555 48100266 53444740 58789214 66805925 80167110 88183821 96200532 117578428 120250665 133611850 146973035 160334220 176367642 200417775 240501330 264551463 267223700 293946070 352735284 400835550 440919105 481002660 529102926 587892140 601253325 734865175 801671100 881838210 1058205852 1202506650 1322757315 1469730350 1763676420 2204595525 2405013300 2645514630 2939460700 4409191050 5291029260 6613786575 8818382100 13227573150 26455146300