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5461664260 = 2251323834219
BaseRepresentation
bin1010001011000101…
…00110001000000100
3112002122002021212111
411011202212020010
542141141224020
62301542230404
7252226244263
oct50542461004
915078067774
105461664260
112352a70218
121085125404
136906b0800
1439b5185da
1521e74ad5a
hex1458a6204

5461664260 has 72 divisors (see below), whose sum is σ = 12455009280. Its totient is φ = 2010872448.

The previous prime is 5461664231. The next prime is 5461664333. The reversal of 5461664260 is 624661645.

It is a super-2 number, since 2×54616642602 = 59659552977922695200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1292431 + ... + 1296649.

It is an arithmetic number, because the mean of its divisors is an integer number (172986240).

Almost surely, 25461664260 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 5461664260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227504640).

5461664260 is an abundant number, since it is smaller than the sum of its proper divisors (6993345020).

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

5461664260 is a wasteful number, since it uses less digits than its factorization.

5461664260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 5461664260 is about 73903.0734137627. The cubic root of 5461664260 is about 1761.0634348827.

The spelling of 5461664260 in words is "five billion, four hundred sixty-one million, six hundred sixty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 383 676 766 845 1532 1690 1915 3380 3830 4219 4979 7660 8438 9958 16876 19916 21095 24895 42190 49790 54847 64727 84380 99580 109694 129454 219388 258908 274235 323635 548470 647270 713011 1096940 1294540 1426022 1615877 2852044 3231754 3565055 6463508 7130110 8079385 14260220 16158770 21006401 32317540 42012802 84025604 105032005 210064010 273083213 420128020 546166426 1092332852 1365416065 2730832130 5461664260