Search a number
-
+
5734443542490 = 2345137316345767
BaseRepresentation
bin101001101110010011101…
…1110000110011111011010
3202022012121020012202220000
41103130213132012133122
51222423120021324430
620110211134313430
71131204566603655
oct123344736063732
922265536182800
105734443542490
111910a66979453
12787459658876
133279a9393380
1415b79730689c
159e27558ce60
hex537277867da

5734443542490 has 320 divisors, whose sum is σ = 16936490140416. Its totient is φ = 1383647505408.

The previous prime is 5734443542479. The next prime is 5734443542491. The reversal of 5734443542490 is 942453444375.

5734443542490 is a `hidden beast` number, since 5 + 7 + 3 + 4 + 4 + 4 + 3 + 542 + 4 + 90 = 666.

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 (5734443542491) 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, 125273587 + ... + 125319353.

Almost surely, 25734443542490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5734443542490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8468245070208).

5734443542490 is an abundant number, since it is smaller than the sum of its proper divisors (11202046597926).

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

5734443542490 is a wasteful number, since it uses less digits than its factorization.

5734443542490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46035 (or 46026 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 5734443542490 in words is "five trillion, seven hundred thirty-four billion, four hundred forty-three million, five hundred forty-two thousand, four hundred ninety".