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5160584192 = 21017521569
BaseRepresentation
bin1001100111001100…
…00100010000000000
3111022122112211122212
410303212010100000
541032102143232
62212025121252
7241612145651
oct46346042000
914278484585
105160584192
112209019315
121000329228
136431c521a
1436d543528
152030c6eb2
hex133984400

5160584192 has 88 divisors (see below), whose sum is σ = 10963158840. Its totient is φ = 2419589120.

The previous prime is 5160584183. The next prime is 5160584237. The reversal of 5160584192 is 2914850615.

It can be written as a sum of positive squares in 4 ways, for example, as 307511296 + 4853072896 = 17536^2 + 69664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9069284 + ... + 9069852.

Almost surely, 25160584192 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 5160584192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5481579420).

5160584192 is an abundant number, since it is smaller than the sum of its proper divisors (5802574648).

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

5160584192 is a wasteful number, since it uses less digits than its factorization.

5160584192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 41.

The square root of 5160584192 is about 71837.2061817551. The cubic root of 5160584192 is about 1728.0897301370.

The spelling of 5160584192 in words is "five billion, one hundred sixty million, five hundred eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 521 544 569 1024 1042 1088 1138 2084 2176 2276 4168 4352 4552 8336 8704 8857 9104 9673 16672 17408 17714 18208 19346 33344 35428 36416 38692 66688 70856 72832 77384 133376 141712 145664 154768 266752 283424 291328 296449 309536 533504 566848 582656 592898 619072 1133696 1185796 1238144 2267392 2371592 2476288 4534784 4743184 4952576 5039633 9069568 9486368 9905152 10079266 18972736 20158532 37945472 40317064 75890944 80634128 151781888 161268256 303563776 322536512 645073024 1290146048 2580292096 5160584192