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4018545664 = 210722832
BaseRepresentation
bin1110111110000110…
…0010010000000000
3101101001121021022121
43233201202100000
531212221430124
61502431214024
7201404034400
oct35741422000
911331537277
104018545664
111782400921
12941977314
134c0715b93
142a19c0800
15187bda2e4
hexef862400

4018545664 has 99 divisors (see below), whose sum is σ = 9377841267. Its totient is φ = 1716148224.

The previous prime is 4018545653. The next prime is 4018545677. The reversal of 4018545664 is 4665458104.

The square root of 4018545664 is 63392.

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

It is a super-2 number, since 2×40185456642 = 32297418507306401792, which contains 22 as substring.

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 4018545664.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14199667 + ... + 14199949.

Almost surely, 24018545664 is an apocalyptic number.

4018545664 is the 63392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4018545664

4018545664 is an abundant number, since it is smaller than the sum of its proper divisors (5359295603).

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

4018545664 is an frugal number, since it uses more digits than its factorization.

4018545664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The cubic root of 4018545664 is about 1589.8505541012.

It can be divided in two parts, 40185 and 45664, that added together give a square (85849 = 2932).

The spelling of 4018545664 in words is "four billion, eighteen million, five hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 283 392 448 512 566 784 896 1024 1132 1568 1792 1981 2264 3136 3584 3962 4528 6272 7168 7924 9056 12544 13867 15848 18112 25088 27734 31696 36224 50176 55468 63392 72448 80089 110936 126784 144896 160178 221872 253568 289792 320356 443744 507136 560623 640712 887488 1014272 1121246 1281424 1774976 2028544 2242492 2562848 3549952 3924361 4484984 5125696 7099904 7848722 8969968 10251392 14199808 15697444 17939936 20502784 31394888 35879872 41005568 62789776 71759744 82011136 125579552 143519488 251159104 287038976 502318208 574077952 1004636416 2009272832 4018545664