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5229319680 = 293251321779
BaseRepresentation
bin1001101111011000…
…10001011000000000
3111111102212222000200
410313230101120000
541202201212210
62222522245200
7243405324654
oct46754213000
914442788020
105229319680
1122438a6302
12101b356800
13654510300
14378716a64
152091530c0
hex137b11600

5229319680 has 720 divisors, whose sum is σ = 21027314880. Its totient is φ = 1196163072.

The previous prime is 5229319651. The next prime is 5229319681. The reversal of 5229319680 is 869139225.

5229319680 is a `hidden beast` number, since 522 + 9 + 31 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5229319681) 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 71 ways as a sum of consecutive naturals, for example, 66193881 + ... + 66193959.

It is an arithmetic number, because the mean of its divisors is an integer number (29204604).

Almost surely, 25229319680 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 5229319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10513657440).

5229319680 is an abundant number, since it is smaller than the sum of its proper divisors (15797995200).

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

5229319680 is a wasteful number, since it uses less digits than its factorization.

5229319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 5229319680 is about 72314.0351522441. The cubic root of 5229319680 is about 1735.7282450304.

The spelling of 5229319680 in words is "five billion, two hundred twenty-nine million, three hundred nineteen thousand, six hundred eighty".