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99949557904 = 247416132
BaseRepresentation
bin101110100010101110…
…1010011100010010000
3100112222122201121200221
41131011131103202100
53114144041323104
6113525521522424
710135562140000
oct1350535234220
9315878647627
1099949557904
113942aa13219
1217454aa3414
13956b22b051
144ba2490000
1528eeac3c54
hex1745753890

99949557904 has 75 divisors (see below), whose sum is σ = 226054349273. Its totient is φ = 42808968384.

The previous prime is 99949557887. The next prime is 99949557973. The reversal of 99949557904 is 40975594999.

It is a happy number.

The square root of 99949557904 is 316148.

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., 62450010000 + 37499547904 = 249900^2 + 193648^2 .

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 61964202 + ... + 61965814.

Almost surely, 299949557904 is an apocalyptic number.

99949557904 is the 316148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99949557904

99949557904 is an abundant number, since it is smaller than the sum of its proper divisors (126104791369).

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

99949557904 is an frugal number, since it uses more digits than its factorization.

99949557904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 165337200, while the sum is 70.

The spelling of 99949557904 in words is "ninety-nine billion, nine hundred forty-nine million, five hundred fifty-seven thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 1613 2401 2744 3226 4802 5488 6452 9604 11291 12904 19208 22582 25808 38416 45164 79037 90328 158074 180656 316148 553259 632296 1106518 1264592 2213036 2601769 3872813 4426072 5203538 7745626 8852144 10407076 15491252 18212383 20814152 30982504 36424766 41628304 61965008 72849532 127486681 145699064 254973362 291398128 509946724 892406767 1019893448 1784813534 2039786896 3569627068 6246847369 7139254136 12493694738 14278508272 24987389476 49974778952 99949557904