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5335279812 = 223613913163
BaseRepresentation
bin1001111100000000…
…11110100011000100
3111202211021022000000
410332000132203010
541411312423222
62241225321300
7246133062432
oct47600364304
914684238000
105335279812
112298698765
12104a936230
1367045c905
14388819d52
152135d39ac
hex13e01e8c4

5335279812 has 84 divisors (see below), whose sum is σ = 14100486960. Its totient is φ = 1765498032.

The previous prime is 5335279811. The next prime is 5335279889. The reversal of 5335279812 is 2189725335.

5335279812 is a `hidden beast` number, since 5 + 33 + 527 + 98 + 1 + 2 = 666.

It is a super-3 number, since 3×53352798123 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5335279811) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 398743 + ... + 411905.

It is an arithmetic number, because the mean of its divisors is an integer number (167862940).

Almost surely, 25335279812 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 5335279812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050243480).

5335279812 is an abundant number, since it is smaller than the sum of its proper divisors (8765207148).

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

5335279812 is a wasteful number, since it uses less digits than its factorization.

5335279812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13324 (or 13307 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 5335279812 is about 73042.9997467245. Note that the first 3 decimals coincide. The cubic root of 5335279812 is about 1747.3734543373.

The spelling of 5335279812 in words is "five billion, three hundred thirty-five million, two hundred seventy-nine thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 139 162 243 278 324 417 486 556 729 834 972 1251 1458 1668 2502 2916 3753 5004 7506 11259 13163 15012 22518 26326 33777 39489 45036 52652 67554 78978 101331 118467 135108 157956 202662 236934 355401 405324 473868 710802 1066203 1421604 1829657 2132406 3198609 3659314 4264812 5488971 6397218 7318628 9595827 10977942 12794436 16466913 19191654 21955884 32933826 38383308 49400739 65867652 98801478 148202217 197602956 296404434 444606651 592808868 889213302 1333819953 1778426604 2667639906 5335279812