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3112661632 = 27101240769
BaseRepresentation
bin1011100110000111…
…0111001010000000
322000221000121001011
42321201313022000
522333320133012
61232511050304
7140064121153
oct27141671200
98027017034
103112661632
11135801a833
1272a510994
133a7b3c222
14217571c9a
151333ea1a7
hexb9877280

3112661632 has 32 divisors (see below), whose sum is σ = 6262427700. Its totient is φ = 1540915200.

The previous prime is 3112661581. The next prime is 3112661633. The reversal of 3112661632 is 2361662113.

It can be written as a sum of positive squares in 2 ways, for example, as 2225574976 + 887086656 = 47176^2 + 29784^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 3112661594 and 3112661603.

It is not an unprimeable number, because it can be changed into a prime (3112661633) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107457 + ... + 133312.

Almost surely, 23112661632 is an apocalyptic number.

3112661632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3112661632 is an abundant number, since it is smaller than the sum of its proper divisors (3149766068).

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

3112661632 is a wasteful number, since it uses less digits than its factorization.

3112661632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240884 (or 240872 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 3112661632 is about 55791.2325728694. The cubic root of 3112661632 is about 1460.0821921577.

The spelling of 3112661632 in words is "three billion, one hundred twelve million, six hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 3232 6464 12928 240769 481538 963076 1926152 3852304 7704608 15409216 24317669 30818432 48635338 97270676 194541352 389082704 778165408 1556330816 3112661632