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3664148900 = 225236641489
BaseRepresentation
bin1101101001100110…
…0111100110100100
3100110100202001100112
43122121213212210
530001010231100
61403331232152
7156541515566
oct33231474644
910410661315
103664148900
111610353335
12863148658
13465180659
1426a8cb336
15166a33b35
hexda6679a4

3664148900 has 18 divisors (see below), whose sum is σ = 7951203330. Its totient is φ = 1465659520.

The previous prime is 3664148899. The next prime is 3664148923. The reversal of 3664148900 is 98414663.

It can be written as a sum of positive squares in 3 ways, for example, as 328624384 + 3335524516 = 18128^2 + 57754^2 .

It is a super-2 number, since 2×36641489002 = 26851974322742420000, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 18320645 + ... + 18320844.

Almost surely, 23664148900 is an apocalyptic number.

It is an amenable number.

3664148900 is an abundant number, since it is smaller than the sum of its proper divisors (4287054430).

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

3664148900 is a wasteful number, since it uses less digits than its factorization.

3664148900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36641503 (or 36641496 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 3664148900 is about 60532.2137378107. The cubic root of 3664148900 is about 1541.6686388417.

The spelling of 3664148900 in words is "three billion, six hundred sixty-four million, one hundred forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 36641489 73282978 146565956 183207445 366414890 732829780 916037225 1832074450 3664148900