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5017710240 = 25345387169
BaseRepresentation
bin1001010110001010…
…00010111010100000
3110221200201002110000
410223011002322200
540234013211430
62145522540000
7235225555554
oct45305027240
913850632400
105017710240
112145403a74
12b80507600
1361c71ca1a
14358591864
151e57a3e60
hex12b142ea0

5017710240 has 120 divisors (see below), whose sum is σ = 17708381460. Its totient is φ = 1338052608.

The previous prime is 5017710227. The next prime is 5017710277. The reversal of 5017710240 is 420177105.

It can be written as a sum of positive squares in 2 ways, for example, as 5014339344 + 3370896 = 70812^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 180625 + ... + 206544.

Almost surely, 25017710240 is an apocalyptic number.

It is an amenable number.

5017710240 is an abundant number, since it is smaller than the sum of its proper divisors (12690671220).

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

5017710240 is a wasteful number, since it uses less digits than its factorization.

5017710240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387196 (or 387179 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 5017710240 is about 70835.7977296790. The cubic root of 5017710240 is about 1711.9925065908.

Adding to 5017710240 its reverse (420177105), we get a palindrome (5437887345).

The spelling of 5017710240 in words is "five billion, seventeen million, seven hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 387169 774338 1161507 1548676 1935845 2323014 3097352 3484521 3871690 4646028 5807535 6194704 6969042 7743380 9292056 10453563 11615070 12389408 13938084 15486760 17422605 18584112 20907126 23230140 27876168 30973520 31360689 34845210 37168224 41814252 46460280 52267815 55752336 61947040 62721378 69690420 83628504 92920560 104535630 111504672 125442756 139380840 156803445 167257008 185841120 209071260 250885512 278761680 313606890 334514016 418142520 501771024 557523360 627213780 836285040 1003542048 1254427560 1672570080 2508855120 5017710240