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4570841664 = 26363132
BaseRepresentation
bin1000100000111000…
…11000001001000000
3102210112211211000000
410100130120021000
533330113413124
62033321000000
7221161340664
oct42034301100
912715754000
104570841664
111a36136aa4
12a76923000
1357ac7b44c
143150aa8a4
151bb4336c9
hex110718240

4570841664 has 147 divisors (see below), whose sum is σ = 13642761513. Its totient is φ = 1518746112.

The previous prime is 4570841659. The next prime is 4570841669. The reversal of 4570841664 is 4661480754.

The square root of 4570841664 is 67608.

It is a perfect power (a square), and thus also a powerful number.

4570841664 is a `hidden beast` number, since 4 + 570 + 8 + 4 + 16 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (4570841659) and next prime (4570841669).

It can be written as a sum of positive squares in only one way, i.e., 29160000 + 4541681664 = 5400^2 + 67392^2 .

It is not an unprimeable number, because it can be changed into a prime (4570841669) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 14603172 + ... + 14603484.

Almost surely, 24570841664 is an apocalyptic number.

4570841664 is the 67608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4570841664

4570841664 is an abundant number, since it is smaller than the sum of its proper divisors (9071919849).

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

4570841664 is an frugal number, since it uses more digits than its factorization.

4570841664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The cubic root of 4570841664 is about 1659.5820382865.

The spelling of 4570841664 in words is "four billion, five hundred seventy million, eight hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 313 324 432 486 576 626 648 729 864 939 972 1252 1296 1458 1728 1878 1944 2504 2592 2817 2916 3756 3888 5008 5184 5634 5832 7512 7776 8451 10016 11268 11664 15024 15552 16902 20032 22536 23328 25353 30048 33804 45072 46656 50706 60096 67608 76059 90144 97969 101412 135216 152118 180288 195938 202824 228177 270432 293907 304236 391876 405648 456354 540864 587814 608472 783752 811296 881721 912708 1175628 1216944 1567504 1622592 1763442 1825416 2351256 2433888 2645163 3135008 3526884 3650832 4702512 4867776 5290326 6270016 7053768 7301664 7935489 9405024 10580652 14107536 14603328 15870978 18810048 21161304 23806467 28215072 31741956 42322608 47612934 56430144 63483912 71419401 84645216 95225868 126967824 142838802 169290432 190451736 253935648 285677604 380903472 507871296 571355208 761806944 1142710416 1523613888 2285420832 4570841664