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123387581856 = 253711233141571
BaseRepresentation
bin111001011101001111…
…0010001010110100000
3102210111002111121012010
41302322132101112200
54010144210104411
6132403344032520
711625442066230
oct1627236212640
9383432447163
10123387581856
1148368089550
121bab6302740
13b834c82a86
145d871ddcc0
1533225a87a6
hex1cba7915a0

123387581856 has 768 divisors, whose sum is σ = 446352850944. Its totient is φ = 28892160000.

The previous prime is 123387581827. The next prime is 123387581869. The reversal of 123387581856 is 658185783321.

It is a super-2 number, since 2×1233875818562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123387581796 and 123387581805.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 216090051 + ... + 216090621.

It is an arithmetic number, because the mean of its divisors is an integer number (581188608).

Almost surely, 2123387581856 is an apocalyptic number.

123387581856 is a gapful number since it is divisible by the number (16) 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 123387581856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223176425472).

123387581856 is an abundant number, since it is smaller than the sum of its proper divisors (322965269088).

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

123387581856 is a wasteful number, since it uses less digits than its factorization.

123387581856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 689 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 57.

The spelling of 123387581856 in words is "one hundred twenty-three billion, three hundred eighty-seven million, five hundred eighty-one thousand, eight hundred fifty-six".