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5454598631040 = 2734513101127631
BaseRepresentation
bin100111101011111111101…
…1010011110111010000000
3201022110021100122022220000
41033113333122132322000
51203332004222143130
615333450310520000
71102040016240366
oct117277732367200
921273240568800
105454598631040
1118133117a9529
1274117a066000
1330749c100480
1414c00acdb636
1596d47582260
hex4f5ff69ee80

5454598631040 has 1280 divisors, whose sum is σ = 21386122813440. Its totient is φ = 1316818944000.

The previous prime is 5454598631033. The next prime is 5454598631047. The reversal of 5454598631040 is 401368954545.

5454598631040 is a `hidden beast` number, since 5 + 4 + 5 + 4 + 598 + 6 + 3 + 1 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5454598631033) and next prime (5454598631047).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5454598631047) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8644371525 + ... + 8644372155.

It is an arithmetic number, because the mean of its divisors is an integer number (16707908448).

Almost surely, 25454598631040 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 5454598631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10693061406720).

5454598631040 is an abundant number, since it is smaller than the sum of its proper divisors (15931524182400).

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

5454598631040 is a wasteful number, since it uses less digits than its factorization.

5454598631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 5454598631040 in words is "five trillion, four hundred fifty-four billion, five hundred ninety-eight million, six hundred thirty-one thousand, forty".