Search a number
-
+
248721914292 = 22319257415031
BaseRepresentation
bin1110011110100011111…
…0110011100110110100
3212202222212011101010120
43213220332303212310
513033340302224132
6310132233451540
723653363250235
oct3475076634664
9782885141116
10248721914292
1196534044575
1240254570bb0
131a5ba357767
14c076b9708c
15670aa0702c
hex39e8fb39b4

248721914292 has 36 divisors (see below), whose sum is σ = 612503561376. Its totient is φ = 78543761040.

The previous prime is 248721914249. The next prime is 248721914299. The reversal of 248721914292 is 292419127842.

It is a super-2 number, since 2×2487219142922 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248721914299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28703184 + ... + 28711847.

It is an arithmetic number, because the mean of its divisors is an integer number (17013987816).

Almost surely, 2248721914292 is an apocalyptic number.

It is an amenable number.

248721914292 is an abundant number, since it is smaller than the sum of its proper divisors (363781647084).

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

248721914292 is a wasteful number, since it uses less digits than its factorization.

248721914292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57415076 (or 57415055 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 248721914292 in words is "two hundred forty-eight billion, seven hundred twenty-one million, nine hundred fourteen thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1083 1444 2166 4332 57415031 114830062 172245093 229660124 344490186 688980372 1090885589 2181771178 3272656767 4363542356 6545313534 13090627068 20726826191 41453652382 62180478573 82907304764 124360957146 248721914292