Search a number
-
+
5091857455104 = 21133726574951
BaseRepresentation
bin100101000011000101001…
…0110101101100000000000
3200000202222022010022221000
41022012022112231200000
51131411111002030404
614455100024332000
71033605655150530
oct112061226554000
920022868108830
105091857455104
111693498875112
126a2a04914000
132ac2109720b4
141386392354c0
158c6b6ba5339
hex4a18a5ad800

5091857455104 has 384 divisors, whose sum is σ = 17248029926400. Its totient is φ = 1453975142400.

The previous prime is 5091857455049. The next prime is 5091857455151. The reversal of 5091857455104 is 4015547581905.

5091857455104 is a `hidden beast` number, since 5 + 0 + 9 + 1 + 8 + 574 + 55 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×50918574551043 (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028447829 + ... + 1028452779.

It is an arithmetic number, because the mean of its divisors is an integer number (44916744600).

Almost surely, 25091857455104 is an apocalyptic number.

5091857455104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5091857455104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8624014963200).

5091857455104 is an abundant number, since it is smaller than the sum of its proper divisors (12156172471296).

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

5091857455104 is a wasteful number, since it uses less digits than its factorization.

5091857455104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7646 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 5091857455104 in words is "five trillion, ninety-one billion, eight hundred fifty-seven million, four hundred fifty-five thousand, one hundred four".