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5611435344 = 2432172292253
BaseRepresentation
bin1010011100111011…
…11011010101010000
3112111001220110011200
411032131323111100
542443011412334
62324452311200
7256025261544
oct51635732520
915431813150
105611435344
11241a566479
121107312500
136b572c458
143b3383a24
1522c982799
hex14e77b550

5611435344 has 60 divisors (see below), whose sum is σ = 16628010516. Its totient is φ = 1760449536.

The previous prime is 5611435343. The next prime is 5611435363. The reversal of 5611435344 is 4435341165.

5611435344 is a `hidden beast` number, since 5 + 6 + 114 + 3 + 534 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1543546944 + 4067888400 = 39288^2 + 63780^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5611435299 and 5611435308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5611435343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1143679 + ... + 1148574.

Almost surely, 25611435344 is an apocalyptic number.

It is an amenable number.

5611435344 is an abundant number, since it is smaller than the sum of its proper divisors (11016575172).

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

5611435344 is a wasteful number, since it uses less digits than its factorization.

5611435344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292284 (or 2292275 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 5611435344 is about 74909.5143756786. The cubic root of 5611435344 is about 1777.0159301877.

The spelling of 5611435344 in words is "five billion, six hundred eleven million, four hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 2292253 4584506 6876759 9169012 13753518 18338024 20630277 27507036 36676048 38968301 41260554 55014072 77936602 82521108 110028144 116904903 155873204 165042216 233809806 311746408 330084432 350714709 467619612 623492816 701429418 935239224 1402858836 1870478448 2805717672 5611435344