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5345151168 = 26374618627
BaseRepresentation
bin1001111101001100…
…01000100011000000
3111210111211210221210
410332212020203000
541421324314133
62242221050120
7246313015050
oct47646104300
914714753853
105345151168
1122a3220205
1210520b6940
13672507a56
14389c69560
152143d3763
hex13e9888c0

5345151168 has 112 divisors (see below), whose sum is σ = 16199656704. Its totient is φ = 1523696640.

The previous prime is 5345151167. The next prime is 5345151191. The reversal of 5345151168 is 8611515435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (5345151167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615271 + ... + 623897.

It is an arithmetic number, because the mean of its divisors is an integer number (144639792).

Almost surely, 25345151168 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 5345151168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8099828352).

5345151168 is an abundant number, since it is smaller than the sum of its proper divisors (10854505536).

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

5345151168 is a wasteful number, since it uses less digits than its factorization.

5345151168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9110 (or 9100 counting only the distinct ones).

The product of its digits is 72000, while the sum is 39.

The square root of 5345151168 is about 73110.5407448201. The cubic root of 5345151168 is about 1748.4504561653.

The spelling of 5345151168 in words is "five billion, three hundred forty-five million, one hundred fifty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 461 672 922 1344 1383 1844 2766 3227 3688 5532 6454 7376 8627 9681 11064 12908 14752 17254 19362 22128 25816 25881 29504 34508 38724 44256 51632 51762 60389 69016 77448 88512 103264 103524 120778 138032 154896 181167 206528 207048 241556 276064 309792 362334 414096 483112 552128 619584 724668 828192 966224 1449336 1656384 1932448 2898672 3864896 3977047 5797344 7954094 11594688 11931141 15908188 23862282 27839329 31816376 47724564 55678658 63632752 83517987 95449128 111357316 127265504 167035974 190898256 222714632 254531008 334071948 381796512 445429264 668143896 763593024 890858528 1336287792 1781717056 2672575584 5345151168