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123940483968 = 27372172931431
BaseRepresentation
bin111001101101101101…
…1011011001110000000
3102211220121212221022010
41303123123123032000
54012312230441333
6132534254412520
711645234505600
oct1633333331600
9384817787263
10123940483968
1148621199044
122002b501140
13b8c269b1a2
145dda806c00
153355dc1563
hex1cdb6db380

123940483968 has 768 divisors, whose sum is σ = 434012774400. Its totient is φ = 31068979200.

The previous prime is 123940483963. The next prime is 123940483981. The reversal of 123940483968 is 869384049321.

It is a super-2 number, since 2×1239404839682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123940483963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 287564713 + ... + 287565143.

It is an arithmetic number, because the mean of its divisors is an integer number (565120800).

Almost surely, 2123940483968 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 123940483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217006387200).

123940483968 is an abundant number, since it is smaller than the sum of its proper divisors (310072290432).

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

123940483968 is a wasteful number, since it uses less digits than its factorization.

123940483968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 123940483968 in words is "one hundred twenty-three billion, nine hundred forty million, four hundred eighty-three thousand, nine hundred sixty-eight".