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3648189216 = 25375428853
BaseRepresentation
bin1101100101110010…
…1111001100100000
3100102020201012210010
43121130233030200
524432414023331
61402001204520
7156256045110
oct33134571440
910366635703
103648189216
111602342611
12859930740
13461a83259
14268735040
1516542ee46
hexd972f320

3648189216 has 48 divisors (see below), whose sum is σ = 10944569664. Its totient is φ = 1042339584.

The previous prime is 3648189211. The next prime is 3648189271. The reversal of 3648189216 is 6129818463.

3648189216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (3648189211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2713755 + ... + 2715098.

It is an arithmetic number, because the mean of its divisors is an integer number (228011868).

Almost surely, 23648189216 is an apocalyptic number.

It is an amenable number.

3648189216 is an abundant number, since it is smaller than the sum of its proper divisors (7296380448).

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

3648189216 is a wasteful number, since it uses less digits than its factorization.

3648189216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5428873 (or 5428865 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 3648189216 is about 60400.2418538204. The cubic root of 3648189216 is about 1539.4270674742.

The spelling of 3648189216 in words is "three billion, six hundred forty-eight million, one hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 5428853 10857706 16286559 21715412 32573118 38001971 43430824 65146236 76003942 86861648 114005913 130292472 152007884 173723296 228011826 260584944 304015768 456023652 521169888 608031536 912047304 1216063072 1824094608 3648189216