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5177315808 = 2532717914347
BaseRepresentation
bin1001101001001011…
…11001000111100000
3111100211000220010100
410310211321013200
541100343101213
62213423502400
7242204313120
oct46445710740
914324026110
105177315808
112217506aa5
121005a57a00
13646802aa2
1437185ac80
152047ce773
hex1349791e0

5177315808 has 144 divisors (see below), whose sum is σ = 16921457280. Its totient is φ = 1470866688.

The previous prime is 5177315777. The next prime is 5177315809. The reversal of 5177315808 is 8085137715.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5177315809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353691 + ... + 368037.

It is an arithmetic number, because the mean of its divisors is an integer number (117510120).

Almost surely, 25177315808 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 5177315808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460728640).

5177315808 is an abundant number, since it is smaller than the sum of its proper divisors (11744141472).

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

5177315808 is a wasteful number, since it uses less digits than its factorization.

5177315808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14549 (or 14538 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The square root of 5177315808 is about 71953.5670276325. The cubic root of 5177315808 is about 1729.9553162081.

The spelling of 5177315808 in words is "five billion, one hundred seventy-seven million, three hundred fifteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 179 224 252 288 336 358 504 537 672 716 1008 1074 1253 1432 1611 2016 2148 2506 2864 3222 3759 4296 5012 5728 6444 7518 8592 10024 11277 12888 14347 15036 17184 20048 22554 25776 28694 30072 40096 43041 45108 51552 57388 60144 86082 90216 100429 114776 120288 129123 172164 180432 200858 229552 258246 301287 344328 360864 401716 459104 516492 602574 688656 803432 903861 1032984 1205148 1377312 1606864 1807722 2065968 2410296 2568113 3213728 3615444 4131936 4820592 5136226 7230888 7704339 9641184 10272452 14461776 15408678 17976791 20544904 23113017 28923552 30817356 35953582 41089808 46226034 53930373 61634712 71907164 82179616 92452068 107860746 123269424 143814328 161791119 184904136 215721492 246538848 287628656 323582238 369808272 431442984 575257312 647164476 739616544 862885968 1294328952 1725771936 2588657904 5177315808