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5416341500 = 225371271563
BaseRepresentation
bin1010000101101011…
…01100111111111100
3111222110210122201202
411002311230333330
542043040412000
62253242555032
7251136100043
oct50265547774
914873718652
105416341500
11232a424599
121071b08a78
136841a22cb
143954bb55a
1521a796dd5
hex142d6cffc

5416341500 has 96 divisors (see below), whose sum is σ = 12061550592. Its totient is φ = 2124360000.

The previous prime is 5416341493. The next prime is 5416341517. The reversal of 5416341500 is 51436145.

It is a happy number.

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, 9620219 + ... + 9620781.

It is an arithmetic number, because the mean of its divisors is an integer number (125641152).

Almost surely, 25416341500 is an apocalyptic number.

5416341500 is a gapful number since it is divisible by the number (50) 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 5416341500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030775296).

5416341500 is an abundant number, since it is smaller than the sum of its proper divisors (6645209092).

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

5416341500 is a wasteful number, since it uses less digits than its factorization.

5416341500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 5416341500 is about 73595.7981137510. The cubic root of 5416341500 is about 1756.1785953923.

Adding to 5416341500 its reverse (51436145), we get a palindrome (5467777645).

The spelling of 5416341500 in words is "five billion, four hundred sixteen million, three hundred forty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 125 142 250 271 284 355 500 542 563 710 1084 1126 1355 1420 1775 2252 2710 2815 3550 5420 5630 6775 7100 8875 11260 13550 14075 17750 19241 27100 28150 33875 35500 38482 39973 56300 67750 70375 76964 79946 96205 135500 140750 152573 159892 192410 199865 281500 305146 384820 399730 481025 610292 762865 799460 962050 999325 1525730 1924100 1998650 2405125 3051460 3814325 3997300 4810250 4996625 7628650 9620500 9993250 10832683 15257300 19071625 19986500 21665366 38143250 43330732 54163415 76286500 108326830 216653660 270817075 541634150 1083268300 1354085375 2708170750 5416341500