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1568720664 = 233272923701
BaseRepresentation
bin101110110000000…
…1100011100011000
311001022211021012100
41131200030130120
511203043030124
6415355043400
753605622430
oct13540143430
94038737170
101568720664
11735558065
12379440560
131c00036a4
1410c4b12c0
1592ac11c9
hex5d80c718

1568720664 has 144 divisors (see below), whose sum is σ = 5030129520. Its totient is φ = 432633600.

The previous prime is 1568720663. The next prime is 1568720669. The reversal of 1568720664 is 4660278651.

1568720664 is a `hidden beast` number, since 1 + 568 + 7 + 20 + 6 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1568720663) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 422014 + ... + 425714.

It is an arithmetic number, because the mean of its divisors is an integer number (34931455).

Almost surely, 21568720664 is an apocalyptic number.

1568720664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1568720664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515064760).

1568720664 is an abundant number, since it is smaller than the sum of its proper divisors (3461408856).

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

1568720664 is a wasteful number, since it uses less digits than its factorization.

1568720664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1568720664 is about 39607.0784582756. The cubic root of 1568720664 is about 1161.9351034131.

The spelling of 1568720664 in words is "one billion, five hundred sixty-eight million, seven hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 841 1044 1218 1624 1682 1827 2088 2436 2523 3364 3654 3701 4872 5046 5887 6728 7308 7402 7569 10092 11103 11774 14616 14804 15138 17661 20184 22206 23548 25907 29608 30276 33309 35322 44412 47096 51814 52983 60552 66618 70644 77721 88824 103628 105966 107329 133236 141288 155442 207256 211932 214658 233163 266472 310884 321987 423864 429316 466326 621768 643974 751303 858632 932652 965961 1287948 1502606 1865304 1931922 2253909 2575896 3005212 3112541 3863844 4507818 6010424 6225082 6761727 7727688 9015636 9337623 12450164 13523454 18031272 18675246 21787787 24900328 27046908 28012869 37350492 43575574 54093816 56025738 65363361 74700984 87151148 112051476 130726722 174302296 196090083 224102952 261453444 392180166 522906888 784360332 1568720664