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49251663360 = 293354373227
BaseRepresentation
bin101101110111101000…
…001011111000000000
311201010102200201202000
4231313220023320000
51301331411211420
634343110024000
73362334142164
oct556750137000
9151112621660
1049251663360
1119984309719
129666348000
13484ba08393
1425531b2ca4
151433d25690
hexb77a0be00

49251663360 has 640 divisors, whose sum is σ = 182266191360. Its totient is φ = 12596871168.

The previous prime is 49251663313. The next prime is 49251663413. The reversal of 49251663360 is 6336615294.

49251663360 is a `hidden beast` number, since 4 + 9 + 2 + 5 + 1 + 6 + 633 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216967567 + ... + 216967793.

It is an arithmetic number, because the mean of its divisors is an integer number (284790924).

Almost surely, 249251663360 is an apocalyptic number.

49251663360 is a gapful number since it is divisible by the number (40) 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 49251663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91133095680).

49251663360 is an abundant number, since it is smaller than the sum of its proper divisors (133014528000).

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

49251663360 is a wasteful number, since it uses less digits than its factorization.

49251663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 49251663360 in words is "forty-nine billion, two hundred fifty-one million, six hundred sixty-three thousand, three hundred sixty".