Search a number
-
+
66523228611840 = 283357111379101241
BaseRepresentation
bin11110010000000101001010…
…11010010010010100000000
322201112120002011212112012000
433020002211122102110000
532204404033011034330
6353252203242304000
720004100422320550
oct1710024532222400
9281476064775160
1066523228611840
111a218385326920
1275647927b8000
132b171625ac690
14125da54747160
157a564da8a560
hex3c80a5692500

66523228611840 has 4608 divisors, whose sum is σ = 325489464115200. Its totient is φ = 12421693440000.

The previous prime is 66523228611799. The next prime is 66523228611877. The reversal of 66523228611840 is 4811682232566.

66523228611840 is a `hidden beast` number, since 6 + 6 + 523 + 2 + 2 + 8 + 61 + 18 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 276029994120 + ... + 276029994360.

It is an arithmetic number, because the mean of its divisors is an integer number (70635734400).

Almost surely, 266523228611840 is an apocalyptic number.

66523228611840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66523228611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162744732057600).

66523228611840 is an abundant number, since it is smaller than the sum of its proper divisors (258966235503360).

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

66523228611840 is a wasteful number, since it uses less digits than its factorization.

66523228611840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 66523228611840 in words is "sixty-six trillion, five hundred twenty-three billion, two hundred twenty-eight million, six hundred eleven thousand, eight hundred forty".