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734711265409 = 11229226872
BaseRepresentation
bin10101011000100000011…
…01000011100010000001
32121020102021212101021111
422230100031003202001
544014142040443114
61321304404123321
7104036554500022
oct12542015034201
92536367771244
10734711265409
112636533a0100
12ba485396541
135438a908644
14277bb330c49
15141a1601bc4
hexab10343881

734711265409 has 27 divisors (see below), whose sum is σ = 836694254851. Its totient is φ = 644647628240.

The previous prime is 734711265329. The next prime is 734711265413. The reversal of 734711265409 is 904562117437.

The square root of 734711265409 is 857153.

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., 385264765809 + 349446499600 = 620697^2 + 591140^2 .

It is not a de Polignac number, because 734711265409 - 211 = 734711263361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (734711265419) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 273430464 + ... + 273433150.

Almost surely, 2734711265409 is an apocalyptic number.

734711265409 is the 857153-rd square number.

734711265409 is the 428577-th centered octagonal number.

It is an amenable number.

734711265409 is a deficient number, since it is larger than the sum of its proper divisors (101982989442).

734711265409 is an frugal number, since it uses more digits than its factorization.

734711265409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5454 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Multiplying 734711265409 by its sum of digits (49), we get a square (36000852005041 = 60000712).

The spelling of 734711265409 in words is "seven hundred thirty-four billion, seven hundred eleven million, two hundred sixty-five thousand, four hundred nine".

Divisors: 1 11 29 121 319 841 2687 3509 9251 29557 77923 101761 325127 857153 2259767 7219969 9428683 24857437 79419659 209379101 273431807 873616249 2303170111 6071993929 25334871221 66791933219 734711265409