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98903282496 = 2632115874159
BaseRepresentation
bin101110000011100011…
…0000101001101000000
3100110021201222022122220
41130013012011031000
53110023220014441
6113234024331040
710100626013244
oct1340706051500
9313251868586
1098903282496
1138a43362aa7
1217202613a80
13943253ab85
144b03538424
15288cd01466
hex1707185340

98903282496 has 112 divisors (see below), whose sum is σ = 263433031680. Its totient is φ = 32747742720.

The previous prime is 98903282483. The next prime is 98903282497. The reversal of 98903282496 is 69428230989.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98903282497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23778465 + ... + 23782623.

It is an arithmetic number, because the mean of its divisors is an integer number (2352080640).

Almost surely, 298903282496 is an apocalyptic number.

98903282496 is a gapful number since it is divisible by the number (96) 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 98903282496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131716515840).

98903282496 is an abundant number, since it is smaller than the sum of its proper divisors (164529749184).

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

98903282496 is a wasteful number, since it uses less digits than its factorization.

98903282496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4972 (or 4962 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 98903282496 in words is "ninety-eight billion, nine hundred three million, two hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 211 422 587 633 844 1174 1266 1688 1761 2348 2532 3376 3522 4159 4696 5064 6752 7044 8318 9392 10128 12477 13504 14088 16636 18784 20256 24954 28176 33272 37568 40512 49908 56352 66544 99816 112704 123857 133088 199632 247714 266176 371571 399264 495428 743142 798528 877549 990856 1486284 1755098 1981712 2441333 2632647 2972568 3510196 3963424 4882666 5265294 5945136 7020392 7323999 7926848 9765332 10530588 11890272 14040784 14647998 19530664 21061176 23780544 28081568 29295996 39061328 42122352 56163136 58591992 78122656 84244704 117183984 156245312 168489408 234367968 468735936 515121263 1030242526 1545363789 2060485052 3090727578 4120970104 6181455156 8241940208 12362910312 16483880416 24725820624 32967760832 49451641248 98903282496