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123413069824 = 2171185597
BaseRepresentation
bin111001011101111111…
…1100000000000000000
3102210112212110112002221
41302323333200000000
54010222221213244
6132410054220424
711626201533202
oct1627377400000
9383485415087
10123413069824
1148380507a90
121bb02954714
13b83a338105
145d8a756772
153324940784
hex1cbbfe0000

123413069824 has 72 divisors (see below), whose sum is σ = 269266998168. Its totient is φ = 56096194560.

The previous prime is 123413069807. The next prime is 123413069827. The reversal of 123413069824 is 428960314321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123413069827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1398994 + ... + 1484590.

It is an arithmetic number, because the mean of its divisors is an integer number (3739819419).

Almost surely, 2123413069824 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 123413069824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134633499084).

123413069824 is an abundant number, since it is smaller than the sum of its proper divisors (145853928344).

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

123413069824 is an frugal number, since it uses more digits than its factorization.

123413069824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85642 (or 85610 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 123413069824 in words is "one hundred twenty-three billion, four hundred thirteen million, sixty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 8192 11264 16384 22528 32768 45056 65536 85597 90112 131072 171194 180224 342388 360448 684776 720896 941567 1369552 1441792 1883134 2739104 3766268 5478208 7532536 10956416 15065072 21912832 30130144 43825664 60260288 87651328 120520576 175302656 241041152 350605312 482082304 701210624 964164608 1402421248 1928329216 2804842496 3856658432 5609684992 7713316864 11219369984 15426633728 30853267456 61706534912 123413069824