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5677924142352 = 24371121131235909
BaseRepresentation
bin101001010011111111010…
…1001101100110100010000
3202002210201021222202112210
41102213332221230310100
51221011342040023402
620024222523352120
71124134152615510
oct122477651546420
922083637882483
105677924142352
111899aa3178600
12778505382640
1332256ca6c437
14158b54c01840
159ca686b406c
hex529fea6cd10

5677924142352 has 240 divisors, whose sum is σ = 18588956480640. Its totient is φ = 1461733109760.

The previous prime is 5677924142347. The next prime is 5677924142369. The reversal of 5677924142352 is 2532414297765.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5677924142292 and 5677924142301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3976174 + ... + 5212082.

It is an arithmetic number, because the mean of its divisors is an integer number (77453985336).

Almost surely, 25677924142352 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 5677924142352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9294478240320).

5677924142352 is an abundant number, since it is smaller than the sum of its proper divisors (12911032338288).

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

5677924142352 is a wasteful number, since it uses less digits than its factorization.

5677924142352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236062 (or 1236045 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 57.

The spelling of 5677924142352 in words is "five trillion, six hundred seventy-seven billion, nine hundred twenty-four million, one hundred forty-two thousand, three hundred fifty-two".