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7152135032 = 237539972417
BaseRepresentation
bin1101010100100110…
…01110101101111000
3200110110000002211002
412222103032231320
5104121421310112
63141411024132
7342144100430
oct65223165570
920413002732
107152135032
1130402149a9
12147729b048
1389c9a1883
144bbc3d2c0
152bcd6b1c2
hex1aa4ceb78

7152135032 has 64 divisors (see below), whose sum is σ = 15637302720. Its totient is φ = 3003107328.

The previous prime is 7152135031. The next prime is 7152135061. The reversal of 7152135032 is 2305312517.

It is a junction number, because it is equal to n+sod(n) for n = 7152134986 and 7152135004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7152135031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2957888 + ... + 2960304.

It is an arithmetic number, because the mean of its divisors is an integer number (244332855).

Almost surely, 27152135032 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 7152135032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7818651360).

7152135032 is an abundant number, since it is smaller than the sum of its proper divisors (8485167688).

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

7152135032 is a wasteful number, since it uses less digits than its factorization.

7152135032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 7152135032 is about 84570.2963930008. The cubic root of 7152135032 is about 1926.6902594595.

Adding to 7152135032 its reverse (2305312517), we get a palindrome (9457447549).

The spelling of 7152135032 in words is "seven billion, one hundred fifty-two million, one hundred thirty-five thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 997 1484 1994 2417 2968 3988 4834 6979 7976 9668 13958 16919 19336 27916 33838 52841 55832 67676 105682 128101 135352 211364 256202 369887 422728 512404 739774 896707 1024808 1479548 1793414 2409749 2959096 3586828 4819498 7173656 9638996 16868243 19277992 33736486 67472972 127716697 134945944 255433394 510866788 894016879 1021733576 1788033758 3576067516 7152135032