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5249383171200 = 27325272192943157
BaseRepresentation
bin100110001100011011110…
…0111101000010010000000
3200120211120112112211111100
41030120313213220102000
51142001214042434300
615055311111214400
71051153415512200
oct114306747502200
920524515484440
105249383171200
111744283a49143
12709447977400
132c10264146ac
141421002b0400
15918362e6700
hex4c6379e8480

5249383171200 has 3456 divisors, whose sum is σ = 24433241976000. Its totient is φ = 1065160212480.

The previous prime is 5249383171187. The next prime is 5249383171223. The reversal of 5249383171200 is 21713839425.

It is a happy number.

5249383171200 is a `hidden beast` number, since 5 + 2 + 493 + 8 + 31 + 7 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 33435561522 + ... + 33435561678.

Almost surely, 25249383171200 is an apocalyptic number.

5249383171200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5249383171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12216620988000).

5249383171200 is an abundant number, since it is smaller than the sum of its proper divisors (19183858804800).

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

5249383171200 is a wasteful number, since it uses less digits than its factorization.

5249383171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 5249383171200 in words is "five trillion, two hundred forty-nine billion, three hundred eighty-three million, one hundred seventy-one thousand, two hundred".