Search a number
-
+
133486825680 = 243251314261413
BaseRepresentation
bin111110001010001101…
…1110101000011010000
3110202112221000100020200
41330110123311003100
54141340111410210
6141153433535200
712433633203615
oct1742433650320
9422487010220
10133486825680
115167a91894a
1221a54574500
13c7843aa7b0
1466645d850c
15371401c0c0
hex1f146f50d0

133486825680 has 120 divisors (see below), whose sum is σ = 482777386728. Its totient is φ = 32858293248.

The previous prime is 133486825673. The next prime is 133486825699. The reversal of 133486825680 is 86528684331.

133486825680 is a `hidden beast` number, since 1 + 3 + 3 + 486 + 82 + 5 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 556582464 + 132930243216 = 23592^2 + 364596^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7121347 + ... + 7140066.

Almost surely, 2133486825680 is an apocalyptic number.

133486825680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133486825680 is an abundant number, since it is smaller than the sum of its proper divisors (349290561048).

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

133486825680 is a wasteful number, since it uses less digits than its factorization.

133486825680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14261445 (or 14261436 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 133486825680 in words is "one hundred thirty-three billion, four hundred eighty-six million, eight hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 14261413 28522826 42784239 57045652 71307065 85568478 114091304 128352717 142614130 171136956 185398369 213921195 228182608 256705434 285228260 342273912 370796738 427842390 513410868 556195107 570456520 641763585 684547824 741593476 855684780 926991845 1026821736 1112390214 1140913040 1283527170 1483186952 1668585321 1711369560 1853983690 2053643472 2224780428 2567054340 2780975535 2966373904 3337170642 3422739120 3707967380 4449560856 5134108680 5561951070 6674341284 7415934760 8342926605 8899121712 10268217360 11123902140 13348682568 14831869520 16685853210 22247804280 26697365136 33371706420 44495608560 66743412840 133486825680