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5171355648 = 2133270141
BaseRepresentation
bin1001101000011110…
…01010000000000000
3111100101211002022200
410310033022000000
541042331340043
62213052033200
7242102540424
oct46417120000
914311732280
105171355648
112214106048
121003a62800
136454c6c74
14370b48b84
152040037d3
hex1343ca000

5171355648 has 84 divisors (see below), whose sum is σ = 14938773018. Its totient is φ = 1723760640.

The previous prime is 5171355643. The next prime is 5171355667. The reversal of 5171355648 is 8465531715.

5171355648 is a `hidden beast` number, since 51 + 7 + 1 + 3 + 556 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3990196224 + 1181159424 = 63168^2 + 34368^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5171355643) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38658 + ... + 108798.

Almost surely, 25171355648 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 5171355648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469386509).

5171355648 is an abundant number, since it is smaller than the sum of its proper divisors (9767417370).

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

5171355648 is an equidigital number, since it uses as much as digits as its factorization.

5171355648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70173 (or 70146 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 5171355648 is about 71912.1383912341. The cubic root of 5171355648 is about 1729.2912159924.

The spelling of 5171355648 in words is "five billion, one hundred seventy-one million, three hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 18432 24576 36864 70141 73728 140282 210423 280564 420846 561128 631269 841692 1122256 1262538 1683384 2244512 2525076 3366768 4489024 5050152 6733536 8978048 10100304 13467072 17956096 20200608 26934144 35912192 40401216 53868288 71824384 80802432 107736576 143648768 161604864 215473152 287297536 323209728 430946304 574595072 646419456 861892608 1292838912 1723785216 2585677824 5171355648