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5465792761 = 114132472
BaseRepresentation
bin1010001011100100…
…10110000011111001
3112002220212001002221
411011302112003321
542143220332021
62302210524041
7252306320602
oct50562260371
915086761087
105465792761
112355330000
121086596621
136914c7a00
1439bcb0da9
1521ecb4241
hex145c960f9

5465792761 has 45 divisors (see below), whose sum is σ = 6651864255. Its totient is φ = 4489090320.

The previous prime is 5465792713. The next prime is 5465792771. The reversal of 5465792761 is 1672975645.

The square root of 5465792761 is 73931.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 808549225 + 4657243536 = 28435^2 + 68244^2 .

It is a de Polignac number, because none of the positive numbers 2k-5465792761 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5465792699 and 5465792708.

It is not an unprimeable number, because it can be changed into a prime (5465792771) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 116293440 + ... + 116293486.

Almost surely, 25465792761 is an apocalyptic number.

5465792761 is the 73931-st square number.

5465792761 is the 36966-th centered octagonal number.

It is an amenable number.

5465792761 is a deficient number, since it is larger than the sum of its proper divisors (1186071494).

5465792761 is an frugal number, since it uses more digits than its factorization.

5465792761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 71 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 52.

The cubic root of 5465792761 is about 1761.5070555220.

The spelling of 5465792761 in words is "five billion, four hundred sixty-five million, seven hundred ninety-two thousand, seven hundred sixty-one".

Divisors: 1 11 13 47 121 143 169 517 611 1331 1573 1859 2209 5687 6721 7943 14641 17303 20449 24299 28717 62557 73931 87373 190333 224939 267289 315887 373321 688127 813241 961103 2474329 2940179 3474757 4106531 8945651 10572133 32341969 38222327 45171841 116293463 420445597 496890251 5465792761