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5229624960 = 27325732647
BaseRepresentation
bin1001101111011010…
…11011111010000000
3111111110110110210100
410313231123322000
541202240444320
62222533002400
7243411036000
oct46755337200
914443413710
105229624960
112243a946aa
12101b483400
136545b9251
14378796000
152091b3790
hex137b5be80

5229624960 has 384 divisors, whose sum is σ = 21067488000. Its totient is φ = 1194891264.

The previous prime is 5229624947. The next prime is 5229624973. The reversal of 5229624960 is 694269225.

5229624960 is a `hidden beast` number, since 522 + 9 + 62 + 4 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5229624947) and next prime (5229624973).

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1974357 + ... + 1977003.

It is an arithmetic number, because the mean of its divisors is an integer number (54863250).

Almost surely, 25229624960 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 5229624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10533744000).

5229624960 is an abundant number, since it is smaller than the sum of its proper divisors (15837863040).

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

5229624960 is a wasteful number, since it uses less digits than its factorization.

5229624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5229624960 is about 72316.1459150030. The cubic root of 5229624960 is about 1735.7620207947.

The spelling of 5229624960 in words is "five billion, two hundred twenty-nine million, six hundred twenty-four thousand, nine hundred sixty".