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661454496 = 253217135101
BaseRepresentation
bin100111011011001…
…111111010100000
31201002122100222200
4213123033322200
52323313020441
6145345133200
722251161523
oct4733177240
91632570880
10661454496
1130a41260a
1216562a200
13a70648c1
1463bc2bba
153d10b7b6
hex276cfea0

661454496 has 72 divisors (see below), whose sum is σ = 1991673684. Its totient is φ = 207513600.

The previous prime is 661454491. The next prime is 661454569. The reversal of 661454496 is 694454166.

It is a happy number.

661454496 is a `hidden beast` number, since 6 + 6 + 14 + 544 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 638067600 + 23386896 = 25260^2 + 4836^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×6614544962 = 875044100557228032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (661454491) 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 11 ways as a sum of consecutive naturals, for example, 62655 + ... + 72446.

Almost surely, 2661454496 is an apocalyptic number.

It is an amenable number.

661454496 is an abundant number, since it is smaller than the sum of its proper divisors (1330219188).

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

661454496 is a wasteful number, since it uses less digits than its factorization.

661454496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135134 (or 135123 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 661454496 is about 25718.7576682856. The cubic root of 661454496 is about 871.2978805147.

The spelling of 661454496 in words is "six hundred sixty-one million, four hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 135101 270202 405303 540404 810606 1080808 1215909 1621212 2161616 2296717 2431818 3242424 4323232 4593434 4863636 6484848 6890151 9186868 9727272 12969696 13780302 18373736 19454544 20670453 27560604 36747472 38909088 41340906 55121208 73494944 82681812 110242416 165363624 220484832 330727248 661454496