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5464565460 = 2232530358697
BaseRepresentation
bin1010001011011011…
…01010011011010100
3112002211112200120100
411011231222123110
542142412043320
62302124334100
7252263016504
oct50555523324
915084480510
105464565460
112354671a02
1210860a4330
136911881b3
1439ba71a04
1521eb20790
hex145b6a6d4

5464565460 has 36 divisors (see below), whose sum is σ = 16575849108. Its totient is φ = 1457217408.

The previous prime is 5464565417. The next prime is 5464565461. The reversal of 5464565460 is 645654645.

5464565460 is a `hidden beast` number, since 5 + 46 + 4 + 565 + 46 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3315686724 + 2148878736 = 57582^2 + 46356^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×54645654602 = 59722951333250023200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5464565461) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15179169 + ... + 15179528.

It is an arithmetic number, because the mean of its divisors is an integer number (460440253).

Almost surely, 25464565460 is an apocalyptic number.

It is an amenable number.

5464565460 is an abundant number, since it is smaller than the sum of its proper divisors (11111283648).

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

5464565460 is a wasteful number, since it uses less digits than its factorization.

5464565460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30358712 (or 30358707 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The square root of 5464565460 is about 73922.6992201989. The cubic root of 5464565460 is about 1761.3752014435.

The spelling of 5464565460 in words is "five billion, four hundred sixty-four million, five hundred sixty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 30358697 60717394 91076091 121434788 151793485 182152182 273228273 303586970 364304364 455380455 546456546 607173940 910760910 1092913092 1366141365 1821521820 2732282730 5464565460