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3649901664 = 253257147937
BaseRepresentation
bin1101100110001101…
…0001010001100000
3100102100221012211010
43121203101101200
524433333323124
61402102020520
7156306436503
oct33143212140
910370835733
103649901664
111603302162
1285a417740
13462232836
14268a5d13a
1516566c529
hexd98d1460

3649901664 has 48 divisors (see below), whose sum is σ = 9618337008. Its totient is φ = 1211891712.

The previous prime is 3649901627. The next prime is 3649901687. The reversal of 3649901664 is 4661099463.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 49297 + ... + 98640.

It is an arithmetic number, because the mean of its divisors is an integer number (200382021).

Almost surely, 23649901664 is an apocalyptic number.

It is an amenable number.

3649901664 is an abundant number, since it is smaller than the sum of its proper divisors (5968435344).

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

3649901664 is a wasteful number, since it uses less digits than its factorization.

3649901664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148207 (or 148199 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 3649901664 is about 60414.4160279647. The cubic root of 3649901664 is about 1539.6678971280.

The spelling of 3649901664 in words is "three billion, six hundred forty-nine million, nine hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 257 514 771 1028 1542 2056 3084 4112 6168 8224 12336 24672 147937 295874 443811 591748 887622 1183496 1775244 2366992 3550488 4733984 7100976 14201952 38019809 76039618 114059427 152079236 228118854 304158472 456237708 608316944 912475416 1216633888 1824950832 3649901664