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5458937846040 = 23325731713615021
BaseRepresentation
bin100111101110000001000…
…0011010001100100011000
3201022212110202122021211200
41033130002003101210120
51203414401042033130
615335445035154200
71102252366042110
oct117340203214430
921285422567750
105458937846040
111815139110a28
12741b8b2a5960
13307a110a0103
1414c2dd312040
1596eed4b0760
hex4f7020d1918

5458937846040 has 384 divisors, whose sum is σ = 20359016046720. Its totient is φ = 1242659635200.

The previous prime is 5458937846003. The next prime is 5458937846069. The reversal of 5458937846040 is 406487398545.

5458937846040 is a `hidden beast` number, since 5 + 4 + 589 + 3 + 7 + 8 + 4 + 6 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1087218730 + ... + 1087223750.

It is an arithmetic number, because the mean of its divisors is an integer number (53018270955).

Almost surely, 25458937846040 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 5458937846040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10179508023360).

5458937846040 is an abundant number, since it is smaller than the sum of its proper divisors (14900078200680).

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

5458937846040 is a wasteful number, since it uses less digits than its factorization.

5458937846040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6723 (or 6716 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 5458937846040 in words is "five trillion, four hundred fifty-eight billion, nine hundred thirty-seven million, eight hundred forty-six thousand, forty".