Search a number
-
+
868133002500 = 22325438583689
BaseRepresentation
bin11001010001000001100…
…00100101110100000100
310001222210200101212202200
430220200300211310010
5103210414022040000
61502451555034500
7116502100524201
oct14504060456404
93058720355680
10868133002500
1130519a4a1a25
121202bbb9ba30
1363b31676c7a
1430037024ca8
15178aea63500
hexca20c25d04

868133002500 has 90 divisors (see below), whose sum is σ = 2742181431990. Its totient is φ = 231502128000.

The previous prime is 868133002489. The next prime is 868133002507. The reversal of 868133002500 is 5200331868.

It can be written as a sum of positive squares in 5 ways, for example, as 520544934144 + 347588068356 = 721488^2 + 589566^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (868133002507) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19269345 + ... + 19314344.

Almost surely, 2868133002500 is an apocalyptic number.

It is an amenable number.

868133002500 is an abundant number, since it is smaller than the sum of its proper divisors (1874048429490).

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

868133002500 is a wasteful number, since it uses less digits than its factorization.

868133002500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38583719 (or 38583699 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 868133002500 in words is "eight hundred sixty-eight billion, one hundred thirty-three million, two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2500 3750 4500 5625 7500 11250 22500 38583689 77167378 115751067 154334756 192918445 231502134 347253201 385836890 463004268 578755335 694506402 771673780 964592225 1157510670 1389012804 1736266005 1929184450 2315021340 2893776675 3472532010 3858368900 4822961125 5787553350 6945064020 8681330025 9645922250 11575106700 14468883375 17362660050 19291844500 24114805625 28937766750 34725320100 43406650125 48229611250 57875533500 72344416875 86813300250 96459222500 144688833750 173626600500 217033250625 289377667500 434066501250 868133002500