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49148479296 = 2633731131071
BaseRepresentation
bin101101110001011110…
…100100011101000000
311200212020112102211000
4231301132210131000
51301124002314141
634324542252000
73356642116050
oct556136443500
9150766472730
1049148479296
1119931042a34
129637887000
13483351b517
1425435d3560
151429c425b6
hexb717a4740

49148479296 has 224 divisors, whose sum is σ = 170456514560. Its totient is φ = 13589337600.

The previous prime is 49148479291. The next prime is 49148479301. The reversal of 49148479296 is 69297484194.

It is an interprime number because it is at equal distance from previous prime (49148479291) and next prime (49148479301).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49148479291) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 309441 + ... + 440511.

Almost surely, 249148479296 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 49148479296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85228257280).

49148479296 is an abundant number, since it is smaller than the sum of its proper divisors (121308035264).

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

49148479296 is a wasteful number, since it uses less digits than its factorization.

49148479296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131130 (or 131114 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 49148479296 in words is "forty-nine billion, one hundred forty-eight million, four hundred seventy-nine thousand, two hundred ninety-six".