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99958410244 = 227211220532
BaseRepresentation
bin101110100010111111…
…1000100110000000100
3100120000021101100211101
41131011333010300010
53114203323111434
6113530435345444
710136030316400
oct1350577046004
9316007340741
1099958410244
1139434a0a100
1217457a52284
13957000a414
144ba3716100
152900771b14
hex1745fc4c04

99958410244 has 81 divisors (see below), whose sum is σ = 223776268821. Its totient is φ = 38925865440.

The previous prime is 99958410193. The next prime is 99958410247. The reversal of 99958410244 is 44201485999.

The square root of 99958410244 is 316162.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 51597122500 + 48361287744 = 227150^2 + 219912^2 .

It is not an unprimeable number, because it can be changed into a prime (99958410247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48687922 + ... + 48689974.

Almost surely, 299958410244 is an apocalyptic number.

99958410244 is the 316162-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99958410244

99958410244 is an abundant number, since it is smaller than the sum of its proper divisors (123817858577).

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

99958410244 is a wasteful number, since it uses less digits than its factorization.

99958410244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 99958410244 in words is "ninety-nine billion, nine hundred fifty-eight million, four hundred ten thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2053 2156 3388 4106 5929 8212 11858 14371 22583 23716 28742 45166 57484 90332 100597 158081 201194 248413 316162 402388 496826 632324 993652 1106567 1738891 2213134 3477782 4214809 4426268 6955564 8429618 12172237 16859236 24344474 29503663 46362899 48688948 59007326 92725798 118014652 185451596 206525641 324540293 413051282 509991889 649080586 826102564 1019983778 1298161172 2039967556 2271782051 3569943223 4543564102 7139886446 9087128204 14279772892 24989602561 49979205122 99958410244