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5054056160 = 2551011492099
BaseRepresentation
bin1001011010011111…
…01100011011100000
3111001020002122200012
410231033230123200
540322314244120
62153301544052
7236146524416
oct45517543340
914036078605
105054056160
11216397921a
12b90715028
1362710729a
1435d3332b6
151e8a831c5
hex12d3ec6e0

5054056160 has 96 divisors (see below), whose sum is σ = 12145140000. Its totient is φ = 1987225600.

The previous prime is 5054056153. The next prime is 5054056187. The reversal of 5054056160 is 616504505.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2406791 + ... + 2408889.

It is an arithmetic number, because the mean of its divisors is an integer number (126511875).

Almost surely, 25054056160 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 5054056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6072570000).

5054056160 is an abundant number, since it is smaller than the sum of its proper divisors (7091083840).

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

5054056160 is a wasteful number, since it uses less digits than its factorization.

5054056160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 5054056160 is about 71091.8853315904. The cubic root of 5054056160 is about 1716.1161872562.

The spelling of 5054056160 in words is "five billion, fifty-four million, fifty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 149 160 202 298 404 505 596 745 808 1010 1192 1490 1616 2020 2099 2384 2980 3232 4040 4198 4768 5960 8080 8396 10495 11920 15049 16160 16792 20990 23840 30098 33584 41980 60196 67168 75245 83960 120392 150490 167920 211999 240784 300980 312751 335840 423998 481568 601960 625502 847996 1059995 1203920 1251004 1563755 1695992 2119990 2407840 2502008 3127510 3391984 4239980 5004016 6255020 6783968 8479960 10008032 12510040 16959920 25020080 31587851 33919840 50040160 63175702 126351404 157939255 252702808 315878510 505405616 631757020 1010811232 1263514040 2527028080 5054056160