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98044107480 = 233451121747313
BaseRepresentation
bin101101101001111100…
…0100101101011011000
3100101001212021201010000
41123103320211223120
53101243242414410
6113012453253000
710040424106644
oct1332370455330
9311055251100
1098044107480
1138642385100
1217002934160
1393265396a7
144a613a7c24
15283c68adc0
hex16d3e25ad8

98044107480 has 960 divisors, whose sum is σ = 392936987520. Its totient is φ = 21824225280.

The previous prime is 98044107467. The next prime is 98044107487. The reversal of 98044107480 is 8470144089.

98044107480 is a `hidden beast` number, since 98 + 0 + 4 + 410 + 74 + 80 = 666.

It is a super-2 number, since 2×980441074802 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98044107487) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 313239804 + ... + 313240116.

It is an arithmetic number, because the mean of its divisors is an integer number (409309362).

Almost surely, 298044107480 is an apocalyptic number.

98044107480 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 98044107480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196468493760).

98044107480 is an abundant number, since it is smaller than the sum of its proper divisors (294892880040).

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

98044107480 is a wasteful number, since it uses less digits than its factorization.

98044107480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 98044107480 in words is "ninety-eight billion, forty-four million, one hundred seven thousand, four hundred eighty".