Search a number
-
+
85151640240 = 24325118266167
BaseRepresentation
bin100111101001101101…
…1101110101010110000
322010210100211111212100
41033103123232222300
52343342304441430
6103041303100400
76103064666622
oct1172333565260
9263710744770
1085151640240
11331269766a7
1214605141700
138050518054
14419b030c12
1523358ca960
hex13d36eeab0

85151640240 has 60 divisors (see below), whose sum is σ = 285967594224. Its totient is φ = 22707103872.

The previous prime is 85151640239. The next prime is 85151640293. The reversal of 85151640240 is 4204615158.

It is a happy number.

85151640240 is a `hidden beast` number, since 8 + 5 + 1 + 5 + 1 + 640 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 85151640195 and 85151640204.

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, 59132364 + ... + 59133803.

Almost surely, 285151640240 is an apocalyptic number.

85151640240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85151640240 is an abundant number, since it is smaller than the sum of its proper divisors (200815953984).

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

85151640240 is a wasteful number, since it uses less digits than its factorization.

85151640240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118266186 (or 118266177 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 85151640240 in words is "eighty-five billion, one hundred fifty-one million, six hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 118266167 236532334 354798501 473064668 591330835 709597002 946129336 1064395503 1182661670 1419194004 1773992505 1892258672 2128791006 2365323340 2838388008 3547985010 4257582012 4730646680 5321977515 5676776016 7095970020 8515164024 9461293360 10643955030 14191940040 17030328048 21287910060 28383880080 42575820120 85151640240