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3648988368 = 243225340197
BaseRepresentation
bin1101100101111111…
…0010010011010000
3100102022012211000100
43121133302103100
524433120111433
61402030252400
7156265614024
oct33137622320
910368184010
103648988368
111602838a73
1285a057100
13461ca2c1c
142688a2384
1516553bb13
hexd97f24d0

3648988368 has 30 divisors (see below), whose sum is σ = 10212099794. Its totient is φ = 1216329408.

The previous prime is 3648988337. The next prime is 3648988373. The reversal of 3648988368 is 8638898463.

It can be written as a sum of positive squares in only one way, i.e., 3054993984 + 593994384 = 55272^2 + 24372^2 .

It is a super-2 number, since 2×36489883682 = 26630232219598606848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12669955 + ... + 12670242.

Almost surely, 23648988368 is an apocalyptic number.

It is an amenable number.

3648988368 is an abundant number, since it is smaller than the sum of its proper divisors (6563111426).

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

3648988368 is a wasteful number, since it uses less digits than its factorization.

3648988368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25340211 (or 25340202 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The square root of 3648988368 is about 60406.8569617721. The cubic root of 3648988368 is about 1539.5394653725.

It can be divided in two parts, 3648 and 988368, that added together give a square (992016 = 9962).

The spelling of 3648988368 in words is "three billion, six hundred forty-eight million, nine hundred eighty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 25340197 50680394 76020591 101360788 152041182 202721576 228061773 304082364 405443152 456123546 608164728 912247092 1216329456 1824494184 3648988368