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98044474752 = 27327231431303
BaseRepresentation
bin101101101001111100…
…1111111010110000000
3100101001212222100220200
41123103321333112000
53101243341143002
6113012505205200
710040430166500
oct1332371772600
9311055870820
1098044474752
1138642606034
1217002a90800
139326637903
144a61461a00
15283c70eb1c
hex16d3e7f580

98044474752 has 576 divisors, whose sum is σ = 346927426560. Its totient is φ = 26458306560.

The previous prime is 98044474739. The next prime is 98044474769. The reversal of 98044474752 is 25747444089.

98044474752 is a `hidden beast` number, since 9 + 80 + 44 + 474 + 7 + 52 = 666.

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

It is a super-2 number, since 2×980444747522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75244533 + ... + 75245835.

It is an arithmetic number, because the mean of its divisors is an integer number (602304560).

Almost surely, 298044474752 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 98044474752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173463713280).

98044474752 is an abundant number, since it is smaller than the sum of its proper divisors (248882951808).

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

98044474752 is a wasteful number, since it uses less digits than its factorization.

98044474752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 98044474752 in words is "ninety-eight billion, forty-four million, four hundred seventy-four thousand, seven hundred fifty-two".