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649146044416 = 212125892
BaseRepresentation
bin10010111001001000001…
…11101001000000000000
32022001120002210210021111
421130210013221000000
541113422341410131
61214114044333104
764620305223232
oct11344407510000
92261502723244
10649146044416
11230335023131
12a5985844194
13492a280566c
14235c1402252
1511d4477dab1
hex97241e9000

649146044416 has 39 divisors (see below), whose sum is σ = 1298236730601. Its totient is φ = 324547239936.

The previous prime is 649146044399. The next prime is 649146044431. The reversal of 649146044416 is 614440641946.

The square root of 649146044416 is 805696.

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., 53409058816 + 595736985600 = 231104^2 + 771840^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 649146044416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 51558250 + ... + 51570838.

Almost surely, 2649146044416 is an apocalyptic number.

649146044416 is the 805696-th square number.

It is an amenable number.

649146044416 is a deficient number, since it is larger than the sum of its proper divisors (649090686185).

649146044416 is an frugal number, since it uses more digits than its factorization.

649146044416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25202 (or 12591 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

Multiplying 649146044416 by its sum of digits (49), we get a square (31808156176384 = 56398722).

The spelling of 649146044416 in words is "six hundred forty-nine billion, one hundred forty-six million, forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 12589 25178 50356 100712 201424 402848 805696 1611392 3222784 6445568 12891136 25782272 51564544 158482921 316965842 633931684 1267863368 2535726736 5071453472 10142906944 20285813888 40571627776 81143255552 162286511104 324573022208 649146044416