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146543496100 = 2252382812
BaseRepresentation
bin1000100001111010101…
…1000100101110100100
3112000020212102220220121
42020132223010232210
54400110113333400
6151153211411324
713405325110261
oct2103653045644
9460225386817
10146543496100
115716aa8a661
1224499153b44
1310a85431a91
1471426b6268
153c2a41521a
hex221eac4ba4

146543496100 has 27 divisors (see below), whose sum is σ = 318007693731. Its totient is φ = 58615867200.

The previous prime is 146543496097. The next prime is 146543496107. The reversal of 146543496100 is 1694345641.

The square root of 146543496100 is 382810.

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

It can be written as a sum of positive squares in 4 ways, for example, as 31220769636 + 115322726464 = 176694^2 + 339592^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146543496107) 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 8 ways as a sum of consecutive naturals, for example, 3808960 + ... + 3847240.

Almost surely, 2146543496100 is an apocalyptic number.

146543496100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146543496100 is the 382810-th square number.

It is an amenable number.

146543496100 is an abundant number, since it is smaller than the sum of its proper divisors (171464197631).

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

146543496100 is an frugal number, since it uses more digits than its factorization.

146543496100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76576 (or 38288 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 146543496100 in words is "one hundred forty-six billion, five hundred forty-three million, four hundred ninety-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 38281 76562 153124 191405 382810 765620 957025 1914050 3828100 1465434961 2930869922 5861739844 7327174805 14654349610 29308699220 36635874025 73271748050 146543496100