Search a number
-
+
123155237248 = 2719267118959
BaseRepresentation
bin111001010110010011…
…1111100100110000000
3102202212220022021022021
41302230213330212000
54004210220042443
6132324324051224
711616621146551
oct1625447744600
9382786267267
10123155237248
1148258a1460a
121ba50533b14
13b7c8ab2564
145d643dc328
15330beb09ed
hex1cac9fc980

123155237248 has 64 divisors (see below), whose sum is σ = 258371712000. Its totient is φ = 58311774720.

The previous prime is 123155237203. The next prime is 123155237263. The reversal of 123155237248 is 842732551321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1231552372482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6486393 + ... + 6505351.

It is an arithmetic number, because the mean of its divisors is an integer number (4037058000).

Almost surely, 2123155237248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123155237248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129185856000).

123155237248 is an abundant number, since it is smaller than the sum of its proper divisors (135216474752).

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

123155237248 is a wasteful number, since it uses less digits than its factorization.

123155237248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21663 (or 21651 counting only the distinct ones).

The product of its digits is 403200, while the sum is 43.

Adding to 123155237248 its reverse (842732551321), we get a palindrome (965887788569).

The spelling of 123155237248 in words is "one hundred twenty-three billion, one hundred fifty-five million, two hundred thirty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 2671 5342 10684 18959 21368 37918 42736 50749 75836 85472 101498 151672 170944 202996 303344 341888 360221 405992 606688 720442 811984 1213376 1440884 1623968 2426752 2881768 3247936 5763536 6495872 11527072 23054144 46108288 50639489 101278978 202557956 405115912 810231824 962150291 1620463648 1924300582 3240927296 3848601164 6481854592 7697202328 15394404656 30788809312 61577618624 123155237248