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4534956900 = 2232525038841
BaseRepresentation
bin1000011100100110…
…11111001101100100
3102201001022200100200
410032103133031210
533241422110100
62025555510500
7220244332455
oct41623371544
912631280320
104534956900
111a17957271
12a668b8430
135736c5a66
1431040912c
151b81e5e00
hex10e4df364

4534956900 has 54 divisors (see below), whose sum is σ = 14214573282. Its totient is φ = 1209321600.

The previous prime is 4534956887. The next prime is 4534956919. The reversal of 4534956900 is 96594354.

4534956900 is a `hidden beast` number, since 45 + 3 + 49 + 569 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 165482496 + 4369474404 = 12864^2 + 66102^2 .

It is a super-2 number, since 2×45349569002 = 41131668169715220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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 17 ways as a sum of consecutive naturals, for example, 2518521 + ... + 2520320.

Almost surely, 24534956900 is an apocalyptic number.

It is an amenable number.

4534956900 is an abundant number, since it is smaller than the sum of its proper divisors (9679616382).

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

4534956900 is a wasteful number, since it uses less digits than its factorization.

4534956900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038861 (or 5038851 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 4534956900 is about 67342.0886221982. The cubic root of 4534956900 is about 1655.2276074851.

The spelling of 4534956900 in words is "four billion, five hundred thirty-four million, nine hundred fifty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 5038841 10077682 15116523 20155364 25194205 30233046 45349569 50388410 60466092 75582615 90699138 100776820 125971025 151165230 181398276 226747845 251942050 302330460 377913075 453495690 503884100 755826150 906991380 1133739225 1511652300 2267478450 4534956900