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98545724416 = 210313798191
BaseRepresentation
bin101101111000111001…
…0000110110000000000
3100102100211011111012001
41123301302012300000
53103310201140131
6113134332513344
710056024556666
oct1336162066000
9312324144161
1098545724416
113887a546357
121712291b854
1393a6439749
144aabc60c36
15286b723261
hex16f1c86c00

98545724416 has 88 divisors (see below), whose sum is σ = 203911331840. Its totient is φ = 47551795200.

The previous prime is 98545724401. The next prime is 98545724429. The reversal of 98545724416 is 61442754589.

It is a super-2 number, since 2×985457244162 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12026881 + ... + 12035071.

Almost surely, 298545724416 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 98545724416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101955665920).

98545724416 is an abundant number, since it is smaller than the sum of its proper divisors (105365607424).

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

98545724416 is a wasteful number, since it uses less digits than its factorization.

98545724416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8621 (or 8603 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 55.

The spelling of 98545724416 in words is "ninety-eight billion, five hundred forty-five million, seven hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 379 496 512 758 992 1024 1516 1984 3032 3968 6064 7936 8191 11749 12128 15872 16382 23498 24256 31744 32764 46996 48512 65528 93992 97024 131056 187984 194048 253921 262112 375968 388096 507842 524224 751936 1015684 1048448 1503872 2031368 2096896 3007744 3104389 4062736 4193792 6015488 6208778 8125472 8387584 12030976 12417556 16250944 24835112 32501888 49670224 65003776 96236059 99340448 130007552 192472118 198680896 260015104 384944236 397361792 769888472 794723584 1539776944 1589447168 3079553888 3178894336 6159107776 12318215552 24636431104 49272862208 98545724416