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4270520064 = 28359791193
BaseRepresentation
bin1111111010001010…
…1111011100000000
3102000121201220012210
43332202233130000
532221223120224
61543432022120
7210553551546
oct37642573400
912017656183
104270520064
1118a1662a28
129b2231940
1353099a165
142c7251d96
1519edae429
hexfe8af700

4270520064 has 144 divisors (see below), whose sum is σ = 11714572800. Its totient is φ = 1380507648.

The previous prime is 4270520039. The next prime is 4270520129. The reversal of 4270520064 is 4600250724.

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, 3579052 + ... + 3580244.

It is an arithmetic number, because the mean of its divisors is an integer number (81351200).

Almost surely, 24270520064 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 4270520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5857286400).

4270520064 is an abundant number, since it is smaller than the sum of its proper divisors (7444052736).

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

4270520064 is a wasteful number, since it uses less digits than its factorization.

4270520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 4270520064 is about 65349.2162462565. The cubic root of 4270520064 is about 1622.4086590032.

Adding to 4270520064 its reverse (4600250724), we get a palindrome (8870770788).

The spelling of 4270520064 in words is "four billion, two hundred seventy million, five hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 79 96 118 128 158 177 192 236 237 256 316 354 384 472 474 632 708 768 944 948 1193 1264 1416 1888 1896 2386 2528 2832 3579 3776 3792 4661 4772 5056 5664 7158 7552 7584 9322 9544 10112 11328 13983 14316 15104 15168 18644 19088 20224 22656 27966 28632 30336 37288 38176 45312 55932 57264 60672 70387 74576 76352 94247 111864 114528 140774 149152 152704 188494 211161 223728 229056 281548 282741 298304 305408 376988 422322 447456 458112 563096 565482 596608 753976 844644 894912 916224 1126192 1130964 1193216 1507952 1689288 1789824 2252384 2261928 3015904 3378576 3579648 4504768 4523856 5560573 6031808 6757152 9009536 9047712 11121146 12063616 13514304 16681719 18019072 18095424 22242292 24127232 27028608 33363438 36190848 44484584 54057216 66726876 72381696 88969168 133453752 177938336 266907504 355876672 533815008 711753344 1067630016 1423506688 2135260032 4270520064