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5456914065 = 3251741173981
BaseRepresentation
bin1010001010100000…
…11110011010010001
3112002022010221211100
411011100132122101
542133432222230
62301252335013
7252141001311
oct50520363221
915068127740
105456914065
112350316339
121083614469
1368c709645
1439aa3d441
1521e10d660
hex14541e691

5456914065 has 48 divisors (see below), whose sum is σ = 10259370576. Its totient is φ = 2672332800.

The previous prime is 5456914061. The next prime is 5456914069. The reversal of 5456914065 is 5604196545.

5456914065 is a `hidden beast` number, since 545 + 6 + 9 + 1 + 40 + 65 = 666.

5456914065 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5456914061) and next prime (5456914069).

It can be written as a sum of positive squares in 8 ways, for example, as 105698961 + 5351215104 = 10281^2 + 73152^2 .

It is not a de Polignac number, because 5456914065 - 22 = 5456914061 is a prime.

It is a super-3 number, since 3×54569140653 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5456914065.

It is not an unprimeable number, because it can be changed into a prime (5456914061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55626 + ... + 118355.

It is an arithmetic number, because the mean of its divisors is an integer number (213736887).

Almost surely, 25456914065 is an apocalyptic number.

It is an amenable number.

5456914065 is a deficient number, since it is larger than the sum of its proper divisors (4802456511).

5456914065 is a wasteful number, since it uses less digits than its factorization.

5456914065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174050 (or 174047 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 5456914065 is about 73870.9284157171. The cubic root of 5456914065 is about 1760.5527345589.

The spelling of 5456914065 in words is "five billion, four hundred fifty-six million, nine hundred fourteen thousand, sixty-five".

Divisors: 1 3 5 9 15 17 41 45 51 85 123 153 205 255 369 615 697 765 1845 2091 3485 6273 10455 31365 173981 521943 869905 1565829 2609715 2957677 7133221 7829145 8873031 14788385 21399663 26619093 35666105 44365155 64198989 106998315 121264757 133095465 320994945 363794271 606323785 1091382813 1818971355 5456914065