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4501561064 = 2371121323931
BaseRepresentation
bin1000011000101000…
…00101111011101000
3102121201110222212212
410030110011323220
533204344423224
62022404024252
7216360431510
oct41424057350
912551428785
104501561064
111a00017500
12a57692088
13569802200
14309bd4840
151b52ead0e
hex10c505ee8

4501561064 has 144 divisors (see below), whose sum is σ = 11484113760. Its totient is φ = 1618531200.

The previous prime is 4501561061. The next prime is 4501561067. The reversal of 4501561064 is 4601651054.

It is an interprime number because it is at equal distance from previous prime (4501561061) and next prime (4501561067).

It is a self number, because there is not a number n which added to its sum of digits gives 4501561064.

It is not an unprimeable number, because it can be changed into a prime (4501561061) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1143179 + ... + 1147109.

It is an arithmetic number, because the mean of its divisors is an integer number (79750790).

Almost surely, 24501561064 is an apocalyptic number.

4501561064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4501561064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742056880).

4501561064 is an abundant number, since it is smaller than the sum of its proper divisors (6982552696).

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

4501561064 is a wasteful number, since it uses less digits than its factorization.

4501561064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 4501561064 is about 67093.6738001430. The cubic root of 4501561064 is about 1651.1545105152.

It can be divided in two parts, 4501 and 561064, that added together give a palindrome (565565).

The spelling of 4501561064 in words is "four billion, five hundred one million, five hundred sixty-one thousand, sixty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 121 143 154 169 182 242 286 308 338 364 484 572 616 676 728 847 968 1001 1144 1183 1352 1573 1694 1859 2002 2366 3146 3388 3718 3931 4004 4732 6292 6776 7436 7862 8008 9464 11011 12584 13013 14872 15724 20449 22022 26026 27517 31448 40898 43241 44044 51103 52052 55034 81796 86482 88088 102206 104104 110068 143143 163592 172964 204412 220136 286286 302687 345928 357721 408824 475651 562133 572572 605374 664339 715442 951302 1124266 1145144 1210748 1328678 1430884 1902604 2248532 2421496 2657356 2861768 3329557 3805208 3934931 4497064 4650373 5314712 6183463 6659114 7307729 7869862 9300746 12366926 13318228 14615458 15739724 18601492 24733852 26636456 29230916 31479448 37202984 43284241 49467704 51154103 58461832 80385019 86568482 102308206 160770038 173136964 204616412 321540076 346273928 409232824 562695133 643080152 1125390266 2250780532 4501561064