Search a number
-
+
5416299471744 = 273274987134683
BaseRepresentation
bin100111011010001010010…
…0110110010001110000000
3201011210102020000110012200
41032310110212302032000
51202220040131043434
615304114050553200
71066212643613010
oct116642446621600
921153366013180
105416299471744
1117a9048938267
1273586b898800
133039a7530035
1414a216593c40
1595d55068199
hex4ed149b2380

5416299471744 has 192 divisors, whose sum is σ = 17816236563840. Its totient is φ = 1547192337408.

The previous prime is 5416299471727. The next prime is 5416299471827. The reversal of 5416299471744 is 4471749926145.

It is a happy number.

5416299471744 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 2 + 99 + 471 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×54162994717442 (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40147827 + ... + 40282509.

It is an arithmetic number, because the mean of its divisors is an integer number (92792898770).

Almost surely, 25416299471744 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 5416299471744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8908118281920).

5416299471744 is an abundant number, since it is smaller than the sum of its proper divisors (12399937092096).

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

5416299471744 is a wasteful number, since it uses less digits than its factorization.

5416299471744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139697 (or 139682 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 5416299471744 in words is "five trillion, four hundred sixteen billion, two hundred ninety-nine million, four hundred seventy-one thousand, seven hundred forty-four".