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2423808479232 = 212347319259
BaseRepresentation
bin100011010001010110001…
…111100101000000000000
322120201021101021021120000
4203101112033211000000
5304202424432313412
65053252055320000
7340054143066000
oct43212617450000
98521241237500
102423808479232
11854a27774aa8
12331900680000
131477445c303a
1485454a76000
15430aeb854dc
hex234563e5000

2423808479232 has 1560 divisors, whose sum is σ = 9062718984000. Its totient is φ = 644948656128.

The previous prime is 2423808479203. The next prime is 2423808479297. The reversal of 2423808479232 is 2329748083242.

2423808479232 is a `hidden beast` number, since 24 + 2 + 380 + 8 + 4 + 7 + 9 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41081499619 + ... + 41081499677.

Almost surely, 22423808479232 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 2423808479232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531359492000).

2423808479232 is an abundant number, since it is smaller than the sum of its proper divisors (6638910504768).

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

2423808479232 is an frugal number, since it uses more digits than its factorization.

2423808479232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 2423808479232 in words is "two trillion, four hundred twenty-three billion, eight hundred eight million, four hundred seventy-nine thousand, two hundred thirty-two".