Search a number
-
+
394666759867680 = 25325274074138797
BaseRepresentation
bin101100110111100101000010…
…0000001101100110100100000
31220202101202220002001021122200
41121233022010001230310200
5403212210011011231210
63515215223445533200
7146062506140526666
oct13157120401546440
91822352802037580
10394666759867680
11104831262005503
123832108b414200
1313c2abb9c12451
146d65d8a280c36
1530962c4e4a0c0
hex166f28406cd20

394666759867680 has 72 divisors (see below), whose sum is σ = 1346800318053372. Its totient is φ = 105244469297664.

The previous prime is 394666759867651. The next prime is 394666759867711. The reversal of 394666759867680 is 86768957666493.

It can be written as a sum of positive squares in 2 ways, for example, as 385758039244176 + 8908720623504 = 19640724^2 + 2984748^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3946667598676802 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137037067959 + ... + 137037070838.

Almost surely, 2394666759867680 is an apocalyptic number.

394666759867680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

394666759867680 is an abundant number, since it is smaller than the sum of its proper divisors (952133558185692).

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

394666759867680 is a wasteful number, since it uses less digits than its factorization.

394666759867680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274074138818 (or 274074138807 counting only the distinct ones).

The product of its (nonzero) digits is 118513704960, while the sum is 90.

The spelling of 394666759867680 in words is "three hundred ninety-four trillion, six hundred sixty-six billion, seven hundred fifty-nine million, eight hundred sixty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 274074138797 548148277594 822222416391 1096296555188 1370370693985 1644444832782 2192593110376 2466667249173 2740741387970 3288889665564 4111112081955 4385186220752 4933334498346 5481482775940 6577779331128 8222224163910 8770372441504 9866668996692 10962965551880 12333336245865 13155558662256 16444448327820 19733337993384 21925931103760 24666672491730 26311117324512 32888896655640 39466675986768 43851862207520 49333344983460 65777793311280 78933351973536 98666689966920 131555586622560 197333379933840 394666759867680