Search a number
-
+
52836037974720 = 263557411131979
BaseRepresentation
bin11000000001101110110010…
…10001100101101011000000
320221002002001022221122200000
430000313121101211223000
523411131201210142340
6304212312445400000
714062164163440000
oct1400673121455300
9227062038848600
1052836037974720
1115920702005450
125b13b8a269000
1323635561cc5c0
14d093c6720000
156195beb92d30
hex300dd9465ac0

52836037974720 has 3360 divisors, whose sum is σ = 258430599947520. Its totient is φ = 10129263943680.

The previous prime is 52836037974703. The next prime is 52836037974721. The reversal of 52836037974720 is 2747973063825.

52836037974720 is a `hidden beast` number, since 52 + 83 + 6 + 0 + 37 + 9 + 7 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (52836037974721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 26698350691 + ... + 26698352669.

It is an arithmetic number, because the mean of its divisors is an integer number (76913869032).

Almost surely, 252836037974720 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 52836037974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129215299973760).

52836037974720 is an abundant number, since it is smaller than the sum of its proper divisors (205594561972800).

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

52836037974720 is a wasteful number, since it uses less digits than its factorization.

52836037974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 52836037974720 in words is "fifty-two trillion, eight hundred thirty-six billion, thirty-seven million, nine hundred seventy-four thousand, seven hundred twenty".