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16304736100 = 22521134
BaseRepresentation
bin11110010111101011…
…01000011101100100
31120002022020102010211
433023311220131210
5231343003023400
611253523025204
71115021653522
oct171365503544
946068212124
1016304736100
116a07664614
1231b050b204
1316cac51953
14b09619312
1565663cdba
hex3cbd68764

16304736100 has 45 divisors (see below), whose sum is σ = 35697181597. Its totient is φ = 6464178560.

The previous prime is 16304736079. The next prime is 16304736139. The reversal of 16304736100 is 163740361.

The square root of 16304736100 is 127690.

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

It can be written as a sum of positive squares in 7 ways, for example, as 10159430436 + 6145305664 = 100794^2 + 78392^2 .

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 144289644 + ... + 144289756.

Almost surely, 216304736100 is an apocalyptic number.

16304736100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16304736100 is the 127690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16304736100

16304736100 is an abundant number, since it is smaller than the sum of its proper divisors (19392445497).

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

16304736100 is an frugal number, since it uses more digits than its factorization.

16304736100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The spelling of 16304736100 in words is "sixteen billion, three hundred four million, seven hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 11300 12769 25538 51076 63845 127690 255380 319225 638450 1276900 1442897 2885794 5771588 7214485 14428970 28857940 36072425 72144850 144289700 163047361 326094722 652189444 815236805 1630473610 3260947220 4076184025 8152368050 16304736100