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5033653632 = 2735761379
BaseRepresentation
bin1001011000000011…
…10111010110000000
3110222210201002200000
410230001313112000
540302103404012
62151252400000
7235511231010
oct45401672600
913883632600
105033653632
112153403527
12b85916000
13622b12897
1435a741c40
151e6da2ddc
hex12c077580

5033653632 has 384 divisors, whose sum is σ = 17494713600. Its totient is φ = 1410877440.

The previous prime is 5033653631. The next prime is 5033653637. The reversal of 5033653632 is 2363563305.

It is a tau number, because it is divible by the number of its divisors (384).

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 (5033653631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13281219 + ... + 13281597.

It is an arithmetic number, because the mean of its divisors is an integer number (45559150).

Almost surely, 25033653632 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 5033653632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8747356800).

5033653632 is an abundant number, since it is smaller than the sum of its proper divisors (12461059968).

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

5033653632 is an equidigital number, since it uses as much as digits as its factorization.

5033653632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 36.

The square root of 5033653632 is about 70948.2461516844. The cubic root of 5033653632 is about 1713.8038314134.

The spelling of 5033653632 in words is "five billion, thirty-three million, six hundred fifty-three thousand, six hundred thirty-two".