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5335332502144 = 271311446122003
BaseRepresentation
bin100110110100011101010…
…0110010011101010000000
3200220001102111101020021211
41031220322212103222000
51144403230110032034
615203003511455504
71060315341000031
oct115507246235200
920801374336254
105335332502144
11177777a118657
12722034087594
132c9172c84478
14146335228a88
1593bb6c3ed64
hex4da3a993a80

5335332502144 has 64 divisors (see below), whose sum is σ = 10711347403680. Its totient is φ = 2646999014400.

The previous prime is 5335332502081. The next prime is 5335332502177. The reversal of 5335332502144 is 4412052335335.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 5335332502097 and 5335332502106.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 242471047 + ... + 242493049.

Almost surely, 25335332502144 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 5335332502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355673701840).

5335332502144 is an abundant number, since it is smaller than the sum of its proper divisors (5376014901536).

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

5335332502144 is a wasteful number, since it uses less digits than its factorization.

5335332502144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36609 (or 36597 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

Adding to 5335332502144 its reverse (4412052335335), we get a palindrome (9747384837479).

The spelling of 5335332502144 in words is "five trillion, three hundred thirty-five billion, three hundred thirty-two million, five hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 131 262 524 1048 2096 4192 8384 14461 16768 22003 28922 44006 57844 88012 115688 176024 231376 352048 462752 704096 925504 1408192 1851008 1894391 2816384 2882393 3788782 5764786 7577564 11529572 15155128 23059144 30310256 46118288 60620512 92236576 121241024 184473152 242482048 318185383 368946304 636370766 1272741532 2545483064 5090966128 10181932256 20363864512 40727729024 41682285173 83364570346 166729140692 333458281384 666916562768 1333833125536 2667666251072 5335332502144