Search a number
-
+
133168681360 = 245111311640619
BaseRepresentation
bin111110000000101111…
…0001101000110010000
3110201201202100221021201
41330001132031012100
54140212140300420
6141102111000544
712423021054301
oct1740136150620
9421652327251
10133168681360
1151527281360
1221985b09154
13c7334c9110
1466342607a8
1536e612710a
hex1f0178d190

133168681360 has 80 divisors (see below), whose sum is σ = 363746093760. Its totient is φ = 44699973120.

The previous prime is 133168681333. The next prime is 133168681409. The reversal of 133168681360 is 63186861331.

133168681360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1331686813602 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133168681360.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5808870 + ... + 5831749.

It is an arithmetic number, because the mean of its divisors is an integer number (4546826172).

Almost surely, 2133168681360 is an apocalyptic number.

133168681360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133168681360 is an abundant number, since it is smaller than the sum of its proper divisors (230577412400).

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

133168681360 is a wasteful number, since it uses less digits than its factorization.

133168681360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11640656 (or 11640650 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 133168681360 in words is "one hundred thirty-three billion, one hundred sixty-eight million, six hundred eighty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 11640619 23281238 46562476 58203095 93124952 116406190 128046809 151328047 186249904 232812380 256093618 302656094 465624760 512187236 605312188 640234045 756640235 931249520 1024374472 1210624376 1280468090 1513280470 1664608517 2048748944 2421248752 2560936180 3026560940 3329217034 5121872360 6053121880 6658434068 8323042585 10243744720 12106243760 13316868136 16646085170 26633736272 33292170340 66584340680 133168681360