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5451320958144 = 2631912730738327
BaseRepresentation
bin100111101010011110000…
…0011001001110011000000
3201022010210221010021221120
41033110330003021303000
51203303301131130034
615332145142552240
71101562546415625
oct117247403116300
921263727107846
105451320958144
11181198a624356
12740604438680
13307099037859
1414bbb989434c
1596c0493ec49
hex4f53c0c9cc0

5451320958144 has 224 divisors, whose sum is σ = 15352197611520. Its totient is φ = 1702307238912.

The previous prime is 5451320958089. The next prime is 5451320958211. The reversal of 5451320958144 is 4418590231545.

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 31 ways as a sum of consecutive naturals, for example, 142212709 + ... + 142251035.

It is an arithmetic number, because the mean of its divisors is an integer number (68536596480).

Almost surely, 25451320958144 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 5451320958144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7676098805760).

5451320958144 is an abundant number, since it is smaller than the sum of its proper divisors (9900876653376).

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

5451320958144 is a wasteful number, since it uses less digits than its factorization.

5451320958144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38795 (or 38785 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 5451320958144 in words is "five trillion, four hundred fifty-one billion, three hundred twenty million, nine hundred fifty-eight thousand, one hundred forty-four".