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49220102880 = 253251315716747
BaseRepresentation
bin101101110101101111…
…110010101011100000
311201001020022021220100
4231311233302223200
51301300321243010
634340021342400
73361501654134
oct556557625340
9151036267810
1049220102880
1119968512883
129657867a00
134845308040
14254cd193c4
15143118e2c0
hexb75bf2ae0

49220102880 has 288 divisors, whose sum is σ = 182046874464. Its totient is φ = 12037828608.

The previous prime is 49220102849. The next prime is 49220102891. The reversal of 49220102880 is 8820102294.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2930667 + ... + 2947413.

It is an arithmetic number, because the mean of its divisors is an integer number (632107203).

Almost surely, 249220102880 is an apocalyptic number.

49220102880 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 49220102880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91023437232).

49220102880 is an abundant number, since it is smaller than the sum of its proper divisors (132826771584).

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

49220102880 is a wasteful number, since it uses less digits than its factorization.

49220102880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16938 (or 16927 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

It can be divided in two parts, 49220 and 102880, that added together give a square (152100 = 3902).

The spelling of 49220102880 in words is "forty-nine billion, two hundred twenty million, one hundred two thousand, eight hundred eighty".