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49811374080 = 214325135197
BaseRepresentation
bin101110011000111111…
…010100000000000000
311202120102212222111200
4232120333110000000
51304003202432310
634514422341200
73412241456646
oct563077240000
9152512788450
1049811374080
111a141249666
1297a188a800
13490a968860
1425a766d196
1514680359c0
hexb98fd4000

49811374080 has 360 divisors, whose sum is σ = 185992569672. Its totient is φ = 12258902016.

The previous prime is 49811374037. The next prime is 49811374087. The reversal of 49811374080 is 8047311894.

It is a happy number.

49811374080 is a `hidden beast` number, since 498 + 1 + 13 + 74 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 548683776 + 49262690304 = 23424^2 + 221952^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49811374087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9582042 + ... + 9587238.

Almost surely, 249811374080 is an apocalyptic number.

49811374080 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 49811374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92996284836).

49811374080 is an abundant number, since it is smaller than the sum of its proper divisors (136181195592).

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

49811374080 is a wasteful number, since it uses less digits than its factorization.

49811374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5249 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 49811374080 in words is "forty-nine billion, eight hundred eleven million, three hundred seventy-four thousand, eighty".