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663092144 = 241113353821
BaseRepresentation
bin100111100001011…
…111101110110000
31201012201120102022
4213201133232300
52324222422034
6145444211012
722301122151
oct4741375660
91635646368
10663092144
11310330a40
12166099a68
13a74b9120
14640cb928
153d331b2e
hex2785fbb0

663092144 has 80 divisors (see below), whose sum is σ = 1515465504. Its totient is φ = 277094400.

The previous prime is 663092141. The next prime is 663092147. The reversal of 663092144 is 441290366.

It is an interprime number because it is at equal distance from previous prime (663092141) and next prime (663092147).

It is not an unprimeable number, because it can be changed into a prime (663092141) 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 15 ways as a sum of consecutive naturals, for example, 807254 + ... + 808074.

Almost surely, 2663092144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663092144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757732752).

663092144 is an abundant number, since it is smaller than the sum of its proper divisors (852373360).

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

663092144 is a wasteful number, since it uses less digits than its factorization.

663092144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 663092144 is about 25750.5756052171. The cubic root of 663092144 is about 872.0163493273.

The spelling of 663092144 in words is "six hundred sixty-three million, ninety-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 353 572 706 821 1144 1412 1642 2288 2824 3284 3883 4589 5648 6568 7766 9031 9178 10673 13136 15532 18062 18356 21346 31064 36124 36712 42692 50479 62128 72248 73424 85384 100958 117403 144496 170768 201916 234806 289813 403832 469612 579626 807664 939224 1159252 1878448 2318504 3187943 3767569 4637008 6375886 7535138 12751772 15070276 25503544 30140552 41443259 51007088 60281104 82886518 165773036 331546072 663092144