Search a number
-
+
123343248821532 = 223175979263493231
BaseRepresentation
bin11100000010111000010110…
…100010000000110100011100
3121011201111111002021002221120
4130002320112202000310130
5112131323433144242112
61114155034541530540
734660153455243405
oct3402702642006434
9534644432232846
10123343248821532
113633463a4539a3
1211a008b8573a50
1353a92abc4141c
142265bb8d2c9ac
15e3d693383e8c
hex702e16880d1c

123343248821532 has 192 divisors, whose sum is σ = 315011889561600. Its totient is φ = 37415654415360.

The previous prime is 123343248821509. The next prime is 123343248821567. The reversal of 123343248821532 is 235128842343321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249825357 + ... + 250318587.

It is an arithmetic number, because the mean of its divisors is an integer number (1640686924800).

Almost surely, 2123343248821532 is an apocalyptic number.

123343248821532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123343248821532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157505944780800).

123343248821532 is an abundant number, since it is smaller than the sum of its proper divisors (191668640740068).

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

123343248821532 is a wasteful number, since it uses less digits than its factorization.

123343248821532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493656 (or 493654 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 51.

The spelling of 123343248821532 in words is "one hundred twenty-three trillion, three hundred forty-three billion, two hundred forty-eight million, eight hundred twenty-one thousand, five hundred thirty-two".