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49016753280 = 27325111922143
BaseRepresentation
bin101101101001101000…
…000100110010000000
311200112001200001200200
4231221220010302000
51300341242101110
634303515045200
73353452346145
oct555150046200
9150461601620
1049016753280
1119873752260
1295bb740800
13481214a231
14252dd043cc
15141d3c26c0
hexb69a04c80

49016753280 has 576 divisors, whose sum is σ = 194969099520. Its totient is φ = 11252183040.

The previous prime is 49016753273. The next prime is 49016753309. The reversal of 49016753280 is 8235761094.

49016753280 is a `hidden beast` number, since 490 + 16 + 75 + 3 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×490167532802 (a number of 22 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22871889 + ... + 22874031.

It is an arithmetic number, because the mean of its divisors is an integer number (338488020).

It is a 1-persistent number, because it is pandigital, but 2⋅49016753280 = 98033506560 is not.

Almost surely, 249016753280 is an apocalyptic number.

49016753280 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 49016753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97484549760).

49016753280 is an abundant number, since it is smaller than the sum of its proper divisors (145952346240).

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

49016753280 is a wasteful number, since it uses less digits than its factorization.

49016753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2183 counting only the distinct ones).

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

The spelling of 49016753280 in words is "forty-nine billion, sixteen million, seven hundred fifty-three thousand, two hundred eighty".