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98229341952 = 2833722973137
BaseRepresentation
bin101101101111011101…
…1001100111100000000
3100101112202211121001000
41123132323030330000
53102133202420302
6113043111412000
710045133426100
oct1333673147400
9311482747030
1098229341952
11387279a2545
1217054984000
139355a23ca1
144a7bc25200
15284da7a31c
hex16deeccf00

98229341952 has 864 divisors, whose sum is σ = 356933908800. Its totient is φ = 26531463168.

The previous prime is 98229341921. The next prime is 98229341963. The reversal of 98229341952 is 25914392289.

98229341952 is a `hidden beast` number, since 98 + 2 + 2 + 93 + 419 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 717002428 + ... + 717002564.

It is an arithmetic number, because the mean of its divisors is an integer number (413117950).

Almost surely, 298229341952 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 98229341952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178466954400).

98229341952 is an abundant number, since it is smaller than the sum of its proper divisors (258704566848).

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

98229341952 is a wasteful number, since it uses less digits than its factorization.

98229341952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 251 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 98229341952 in words is "ninety-eight billion, two hundred twenty-nine million, three hundred forty-one thousand, nine hundred fifty-two".