Search a number
-
+
5495696211456 = 29351119211349
BaseRepresentation
bin100111111111001000100…
…0001010011111000000000
3201110101100111222201200000
41033332101001103320000
51210020141212231311
615404404334400000
71105023322016163
oct117762101237000
921411314881600
105495696211456
111829791269a20
12749129660000
1330b31b6972a9
1414ddc9177ada
1597e505c3056
hex4ff91053e00

5495696211456 has 480 divisors, whose sum is σ = 18888197328000. Its totient is φ = 1577704366080.

The previous prime is 5495696211449. The next prime is 5495696211457. The reversal of 5495696211456 is 6541126965945.

It is a happy number.

5495696211456 is a `hidden beast` number, since 5 + 4 + 9 + 569 + 6 + 2 + 1 + 14 + 56 = 666.

It is a super-2 number, since 2×54956962114562 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5495696211393 and 5495696211402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5495696211457) 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 47 ways as a sum of consecutive naturals, for example, 25897270 + ... + 26108618.

It is an arithmetic number, because the mean of its divisors is an integer number (39350411100).

Almost surely, 25495696211456 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 5495696211456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9444098664000).

5495696211456 is an abundant number, since it is smaller than the sum of its proper divisors (13392501116544).

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

5495696211456 is a wasteful number, since it uses less digits than its factorization.

5495696211456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211412 (or 211384 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 5495696211456 in words is "five trillion, four hundred ninety-five billion, six hundred ninety-six million, two hundred eleven thousand, four hundred fifty-six".