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5067643392 = 2933752369
BaseRepresentation
bin1001011100000111…
…00001101000000000
3111002011122221212000
410232003201220000
540334304042032
62154505104000
7236403154350
oct45603415000
914064587760
105067643392
112170609539
12b95188000
13629b83876
1436106cb60
151e9d68e7c
hex12e0e1a00

5067643392 has 160 divisors (see below), whose sum is σ = 17143843200. Its totient is φ = 1447870464.

The previous prime is 5067643351. The next prime is 5067643393. The reversal of 5067643392 is 2933467605.

5067643392 is a `hidden beast` number, since 506 + 76 + 43 + 39 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (5067643393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70584 + ... + 122952.

It is an arithmetic number, because the mean of its divisors is an integer number (107149020).

Almost surely, 25067643392 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 5067643392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8571921600).

5067643392 is an abundant number, since it is smaller than the sum of its proper divisors (12076199808).

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

5067643392 is an equidigital number, since it uses as much as digits as its factorization.

5067643392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52403 (or 52381 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 5067643392 is about 71187.3822527560. The cubic root of 5067643392 is about 1717.6526696346.

The spelling of 5067643392 in words is "five billion, sixty-seven million, six hundred forty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 8064 10752 12096 13824 16128 24192 32256 48384 52369 96768 104738 157107 209476 314214 366583 418952 471321 628428 733166 837904 942642 1099749 1256856 1413963 1466332 1675808 1885284 2199498 2513712 2827926 2932664 3299247 3351616 3770568 4398996 5027424 5655852 5865328 6598494 6703232 7541136 8797992 9897741 10054848 11311704 11730656 13196988 13406464 15082272 17595984 19795482 20109696 22623408 23461312 26393976 26812928 30164544 35191968 39590964 40219392 45246816 46922624 52787952 60329088 70383936 79181928 80438784 90493632 93845248 105575904 120658176 140767872 158363856 180987264 187690496 211151808 241316352 281535744 316727712 361974528 422303616 563071488 633455424 723949056 844607232 1266910848 1689214464 2533821696 5067643392