Search a number
-
+
55500318720 = 211345711279
BaseRepresentation
bin110011101100000100…
…111010100000000000
312022020220122022110000
4303230010322200000
51402131040144340
641255124240000
74003230632250
oct635404724000
9168226568400
1055500318720
11215a0534a00
12a90ab40000
1353064657a2
14298702b960
15169c6c8d30
hexcec13a800

55500318720 has 1440 divisors, whose sum is σ = 253059206400. Its totient is φ = 11386552320.

The previous prime is 55500318683. The next prime is 55500318803. The reversal of 55500318720 is 2781300555.

55500318720 is a `hidden beast` number, since 5 + 550 + 0 + 3 + 1 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 702535641 + ... + 702535719.

It is an arithmetic number, because the mean of its divisors is an integer number (175735560).

Almost surely, 255500318720 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 55500318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126529603200).

55500318720 is an abundant number, since it is smaller than the sum of its proper divisors (197558887680).

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

55500318720 is a wasteful number, since it uses less digits than its factorization.

55500318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 55500318720 in words is "fifty-five billion, five hundred million, three hundred eighteen thousand, seven hundred twenty".