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2012677632 = 293572311
BaseRepresentation
bin111011111110111…
…0000011000000000
312012021012121200000
41313331300120000
513110221141012
6531414400000
7100606322550
oct16775603000
95167177600
102012677632
11943116549
12482060000
13260c95914
14151439160
15bba68ddc
hex77f70600

2012677632 has 240 divisors, whose sum is σ = 6887392512. Its totient is φ = 574801920.

The previous prime is 2012677631. The next prime is 2012677661. The reversal of 2012677632 is 2367762102.

It is a happy number.

2012677632 is a `hidden beast` number, since 2 + 0 + 12 + 6 + 7 + 7 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012677631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 869757 + ... + 872067.

Almost surely, 22012677632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012677632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443696256).

2012677632 is an abundant number, since it is smaller than the sum of its proper divisors (4874714880).

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

2012677632 is an frugal number, since it uses more digits than its factorization.

2012677632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2012677632 is about 44862.8758775003. The cubic root of 2012677632 is about 1262.5775805935.

The spelling of 2012677632 in words is "two billion, twelve million, six hundred seventy-seven thousand, six hundred thirty-two".