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6427291344 = 243295387119
BaseRepresentation
bin1011111110001100…
…01010111011010000
3121120221002020012120
411333012022323100
5101130341310334
62541435054240
7315163034505
oct57706127320
917527066176
106427291344
1127a9047131
1212b45a1380
137b5774496
1444d8794ac
152793dc949
hex17f18aed0

6427291344 has 80 divisors (see below), whose sum is σ = 17500665600. Its totient is φ = 2029500928.

The previous prime is 6427291309. The next prime is 6427291421. The reversal of 6427291344 is 4431927246.

It is a junction number, because it is equal to n+sod(n) for n = 6427291296 and 6427291305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30217 + ... + 117335.

It is an arithmetic number, because the mean of its divisors is an integer number (218758320).

Almost surely, 26427291344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6427291344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8750332800).

6427291344 is an abundant number, since it is smaller than the sum of its proper divisors (11073374256).

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

6427291344 is a wasteful number, since it uses less digits than its factorization.

6427291344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87212 (or 87206 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 6427291344 is about 80170.3894464783. The cubic root of 6427291344 is about 1859.2708576896.

The spelling of 6427291344 in words is "six billion, four hundred twenty-seven million, two hundred ninety-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 53 58 87 106 116 159 174 212 232 318 348 424 464 636 696 848 1272 1392 1537 2544 3074 4611 6148 9222 12296 18444 24592 36888 73776 87119 174238 261357 348476 522714 696952 1045428 1393904 2090856 2526451 4181712 4617307 5052902 7579353 9234614 10105804 13851921 15158706 18469228 20211608 27703842 30317412 36938456 40423216 55407684 60634824 73876912 110815368 121269648 133901903 221630736 267803806 401705709 535607612 803411418 1071215224 1606822836 2142430448 3213645672 6427291344