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4428798189841 = 5325926732
BaseRepresentation
bin100000001110010100011…
…1100010110000100010001
3120200101111120010200200201
41000130220330112010101
51040030134314033331
613230321203215201
7634653514325224
oct100345074260421
916611446120621
104428798189841
111458274135263
125b63b7677501
1326183182279c
141144d80a95bb
157a30ac35a61
hex40728f16111

4428798189841 has 27 divisors (see below), whose sum is σ = 4598574142449. Its totient is φ = 4265240808192.

The previous prime is 4428798189821. The next prime is 4428798189889. The reversal of 4428798189841 is 1489818978244.

The square root of 4428798189841 is 2104471.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12159693441 + 4416638496400 = 110271^2 + 2101580^2 .

It is not a de Polignac number, because 4428798189841 - 215 = 4428798157073 is a prime.

It is a super-2 number, since 2×44287981898412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4428798189821) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6580680481 + ... + 6580681153.

Almost surely, 24428798189841 is an apocalyptic number.

4428798189841 is the 2104471-st square number.

4428798189841 is the 1052236-th centered octagonal number.

It is an amenable number.

4428798189841 is a deficient number, since it is larger than the sum of its proper divisors (169775952608).

4428798189841 is an frugal number, since it uses more digits than its factorization.

4428798189841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 785 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 73.

The spelling of 4428798189841 in words is "four trillion, four hundred twenty-eight billion, seven hundred ninety-eight million, one hundred eighty-nine thousand, eight hundred forty-one".

Divisors: 1 53 59 673 2809 3127 3481 35669 39707 165731 184493 452929 1890457 2104471 2342713 9778129 24005237 26722811 111536963 124163789 1272277561 1416308983 1576645849 6580680817 75064376099 83562229997 4428798189841