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67034114048 = 2111110927299
BaseRepresentation
bin111110011011100010…
…110110100000000000
320102000201111211012202
4332123202312200000
52044241213122143
650443421412332
74562111365556
oct763342664000
9212021454182
1067034114048
112647a012060
1210ba970a0a8
136423b48855
14335cb6dbd6
151b25059ab8
hexf9b8b6800

67034114048 has 96 divisors (see below), whose sum is σ = 147567420000. Its totient is φ = 30189404160.

The previous prime is 67034114047. The next prime is 67034114089. The reversal of 67034114048 is 84041143076.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (67034114047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2441903 + ... + 2469201.

It is an arithmetic number, because the mean of its divisors is an integer number (1537160625).

Almost surely, 267034114048 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 67034114048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73783710000).

67034114048 is an abundant number, since it is smaller than the sum of its proper divisors (80533305952).

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

67034114048 is a wasteful number, since it uses less digits than its factorization.

67034114048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27441 (or 27421 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The spelling of 67034114048 in words is "sixty-seven billion, thirty-four million, one hundred fourteen thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 109 128 176 218 256 352 436 512 704 872 1024 1199 1408 1744 2048 2398 2816 3488 4796 5632 6976 9592 11264 13952 19184 22528 27299 27904 38368 54598 55808 76736 109196 111616 153472 218392 223232 300289 306944 436784 600578 613888 873568 1201156 1227776 1747136 2402312 2455552 2975591 3494272 4804624 5951182 6988544 9609248 11902364 13977088 19218496 23804728 27954176 32731501 38436992 47609456 55908352 65463002 76873984 95218912 130926004 153747968 190437824 261852008 307495936 380875648 523704016 614991872 761751296 1047408032 1523502592 2094816064 3047005184 4189632128 6094010368 8379264256 16758528512 33517057024 67034114048