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5541117439968 = 253211217471271567
BaseRepresentation
bin101000010100010010001…
…0101100010111111100000
3201121201121000001012121200
41100220210111202333200
51211241202031034333
615441315413121200
71111222025053005
oct120504425427740
921551530035550
105541117439968
111846a7a37a200
12755aa5029200
133126a9940376
141522977358ac
159920ceb9c13
hex50a24562fe0

5541117439968 has 864 divisors, whose sum is σ = 18888841101312. Its totient is φ = 1533571522560.

The previous prime is 5541117439931. The next prime is 5541117439969. The reversal of 5541117439968 is 8699347111455.

5541117439968 is a `hidden beast` number, since 5 + 5 + 4 + 11 + 174 + 399 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5541117439969) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3536130321 + ... + 3536131887.

It is an arithmetic number, because the mean of its divisors is an integer number (21862084608).

Almost surely, 25541117439968 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 5541117439968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9444420550656).

5541117439968 is an abundant number, since it is smaller than the sum of its proper divisors (13347723661344).

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

5541117439968 is a wasteful number, since it uses less digits than its factorization.

5541117439968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1774 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 5541117439968 in words is "five trillion, five hundred forty-one billion, one hundred seventeen million, four hundred thirty-nine thousand, nine hundred sixty-eight".