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99983219728 = 24722915129123
BaseRepresentation
bin101110100011101110…
…1101101110000010000
3100120002000001211001011
41131013131231300100
53114231201012403
6113533123220304
710136451226300
oct1350735556020
9316060054034
1099983219728
1139447a14907
1217464217694
1395751b59a2
144ba6b33600
152902a22a6d
hex174776dc10

99983219728 has 120 divisors (see below), whose sum is σ = 234667212480. Its totient is φ = 41096966400.

The previous prime is 99983219717. The next prime is 99983219741. The reversal of 99983219728 is 82791238999.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3418575 + ... + 3447697.

It is an arithmetic number, because the mean of its divisors is an integer number (1955560104).

Almost surely, 299983219728 is an apocalyptic number.

99983219728 is a gapful number since it is divisible by the number (98) 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 99983219728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117333606240).

99983219728 is an abundant number, since it is smaller than the sum of its proper divisors (134683992752).

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

99983219728 is a wasteful number, since it uses less digits than its factorization.

99983219728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29325 (or 29312 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 67.

The spelling of 99983219728 in words is "ninety-nine billion, nine hundred eighty-three million, two hundred nineteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 151 196 203 232 302 392 406 464 604 784 812 1057 1208 1421 1624 2114 2416 2842 3248 4228 4379 5684 7399 8456 8758 11368 14798 16912 17516 22736 29123 29596 30653 35032 58246 59192 61306 70064 116492 118384 122612 203861 214571 232984 245224 407722 429142 465968 490448 815444 844567 858284 1427027 1630888 1689134 1716568 2854054 3261776 3378268 3433136 4397573 5708108 5911969 6756536 8795146 11416216 11823938 13513072 17590292 22832432 23647876 30783011 35180584 41383783 47295752 61566022 70361168 82767566 94591504 123132044 127529617 165535132 215481077 246264088 255059234 331070264 430962154 492528176 510118468 662140528 861924308 892707319 1020236936 1723848616 1785414638 2040473872 3447697232 3570829276 6248951233 7141658552 12497902466 14283317104 24995804932 49991609864 99983219728