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6068729952 = 253423101797
BaseRepresentation
bin1011010011011100…
…10111100001100000
3120122221101102110000
411221232113201200
544412043324302
62442105540000
7303250232145
oct55156274140
916587342400
106068729952
1126347046aa
1212144a4600
137593b148c
14417dc03cc
15257bb231c
hex169b97860

6068729952 has 120 divisors (see below), whose sum is σ = 18624147696. Its totient is φ = 1934938368.

The previous prime is 6068729917. The next prime is 6068729959. The reversal of 6068729952 is 2599278606.

6068729952 is a `hidden beast` number, since 606 + 8 + 7 + 29 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6068729959) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8718 + ... + 110514.

Almost surely, 26068729952 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 6068729952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9312073848).

6068729952 is an abundant number, since it is smaller than the sum of its proper divisors (12555417744).

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

6068729952 is a wasteful number, since it uses less digits than its factorization.

6068729952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101842 (or 101825 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 6068729952 is about 77902.0535801207. The cubic root of 6068729952 is about 1824.0326344577.

The spelling of 6068729952 in words is "six billion, sixty-eight million, seven hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 1104 1242 1296 1656 1863 2208 2484 2592 3312 3726 4968 6624 7452 9936 14904 19872 29808 59616 101797 203594 305391 407188 610782 814376 916173 1221564 1628752 1832346 2341331 2443128 2748519 3257504 3664692 4682662 4886256 5497038 7023993 7329384 8245557 9365324 9772512 10994076 14047986 14658768 16491114 18730648 21071979 21988152 28095972 29317536 32982228 37461296 42143958 43976304 56191944 63215937 65964456 74922592 84287916 87952608 112383888 126431874 131928912 168575832 189647811 224767776 252863748 263857824 337151664 379295622 505727496 674303328 758591244 1011454992 1517182488 2022909984 3034364976 6068729952