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2231161486848 = 29337171797577
BaseRepresentation
bin100000011101111011100…
…101100111111000000000
321220022000110222002021000
4200131323211213320000
5243023404320034343
64424551553532000
7320124155502660
oct40357345477000
97808013862230
102231161486848
117902595472a8
123004b7574000
13132522776c58
1479dbb3621a0
153d087009ed3
hex2077b967e00

2231161486848 has 640 divisors, whose sum is σ = 8037578419200. Its totient is φ = 596545634304.

The previous prime is 2231161486819. The next prime is 2231161486849. The reversal of 2231161486848 is 8486841611322.

2231161486848 is a `hidden beast` number, since 2 + 2 + 3 + 11 + 614 + 8 + 6 + 8 + 4 + 8 = 666.

It is a super-3 number, since 3×22311614868483 (a number of 38 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2231161486794 and 2231161486803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231161486849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294461236 + ... + 294468812.

It is an arithmetic number, because the mean of its divisors is an integer number (12558716280).

Almost surely, 22231161486848 is an apocalyptic number.

2231161486848 is a gapful number since it is divisible by the number (28) 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 2231161486848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018789209600).

2231161486848 is an abundant number, since it is smaller than the sum of its proper divisors (5806416932352).

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

2231161486848 is a wasteful number, since it uses less digits than its factorization.

2231161486848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7807 (or 7785 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 2231161486848 in words is "two trillion, two hundred thirty-one billion, one hundred sixty-one million, four hundred eighty-six thousand, eight hundred forty-eight".