Search a number
-
+
5179387416 = 2337217449577
BaseRepresentation
bin1001101001011011…
…10010111000011000
3111100221221010211120
410310231302320120
541101410344131
62213540125240
7242231031600
oct46455627030
914327833746
105179387416
1122186a1475
121006696820
136470799a8
14371c39c00
15204a8d496
hex134b72e18

5179387416 has 192 divisors, whose sum is σ = 16011756000. Its totient is φ = 1387266048.

The previous prime is 5179387397. The next prime is 5179387427. The reversal of 5179387416 is 6147839715.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8976120 + ... + 8976696.

Almost surely, 25179387416 is an apocalyptic number.

5179387416 is a gapful number since it is divisible by the number (56) 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 5179387416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8005878000).

5179387416 is an abundant number, since it is smaller than the sum of its proper divisors (10832368584).

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

5179387416 is a wasteful number, since it uses less digits than its factorization.

5179387416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1055 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The square root of 5179387416 is about 71967.9610382287. The cubic root of 5179387416 is about 1730.1860220742.

The spelling of 5179387416 in words is "five billion, one hundred seventy-nine million, three hundred eighty-seven thousand, four hundred sixteen".