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2423128829472 = 25321319314392503
BaseRepresentation
bin100011010000101101101…
…110111010111000100000
322120122112000101111100200
4203100231232322320200
5304200031440020342
65053100420145200
7340031251132551
oct43205556727040
98518460344320
102423128829472
1185470906508a
12331750b38200
1314766685a610
14853cc6b8328
154307018294c
hex2342dbbae20

2423128829472 has 576 divisors, whose sum is σ = 8084979302400. Its totient is φ = 681722542080.

The previous prime is 2423128829423. The next prime is 2423128829477. The reversal of 2423128829472 is 2749288213242.

It is a happy number.

2423128829472 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 1 + 288 + 294 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (2423128829477) 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, 968088573 + ... + 968091075.

It is an arithmetic number, because the mean of its divisors is an integer number (14036422400).

Almost surely, 22423128829472 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 2423128829472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042489651200).

2423128829472 is an abundant number, since it is smaller than the sum of its proper divisors (5661850472928).

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

2423128829472 is a wasteful number, since it uses less digits than its factorization.

2423128829472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 3010 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 2423128829472 in words is "two trillion, four hundred twenty-three billion, one hundred twenty-eight million, eight hundred twenty-nine thousand, four hundred seventy-two".