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98280161280 = 2143257137139
BaseRepresentation
bin101101110000111110…
…1000100000000000000
3100101200022110111001100
41123201331010000000
53102234210130110
6113052124534400
710046321405310
oct1334175040000
9311608414040
1098280161280
1138753652894
12170699b1400
1393634082b2
144a84893440
152853267bc0
hex16e1f44000

98280161280 has 720 divisors, whose sum is σ = 395028466560. Its totient is φ = 22139633664.

The previous prime is 98280161257. The next prime is 98280161341. The reversal of 98280161280 is 8216108289.

It is a happy number.

98280161280 is a `hidden beast` number, since 9 + 8 + 28 + 0 + 1 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×982801612802 (a number of 23 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 707051451 + ... + 707051589.

It is an arithmetic number, because the mean of its divisors is an integer number (548650648).

Almost surely, 298280161280 is an apocalyptic number.

98280161280 is a gapful number since it is divisible by the number (90) 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 98280161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197514233280).

98280161280 is an abundant number, since it is smaller than the sum of its proper divisors (296748305280).

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

98280161280 is a wasteful number, since it uses less digits than its factorization.

98280161280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

It can be divided in two parts, 98280 and 161280, that added together give a triangular number (259560 = T720).

The spelling of 98280161280 in words is "ninety-eight billion, two hundred eighty million, one hundred sixty-one thousand, two hundred eighty".