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67445354144 = 257437002217
BaseRepresentation
bin111110110100000011…
…100110111010100000
320110002101022222120102
4332310003212322200
52101112002313034
650552312001532
74605234023360
oct766403467240
9213071288512
1067445354144
1126670164903
12110a33902a8
13648b0c429c
14339b61c9a0
151b4b1dd97e
hexfb40e6ea0

67445354144 has 48 divisors (see below), whose sum is σ = 155281186368. Its totient is φ = 28232934912.

The previous prime is 67445354131. The next prime is 67445354147. The reversal of 67445354144 is 44145354476.

67445354144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (67445354147) 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, 3491477 + ... + 3510740.

It is an arithmetic number, because the mean of its divisors is an integer number (3235024716).

Almost surely, 267445354144 is an apocalyptic number.

It is an amenable number.

67445354144 is an abundant number, since it is smaller than the sum of its proper divisors (87835832224).

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

67445354144 is a wasteful number, since it uses less digits than its factorization.

67445354144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7002277 (or 7002269 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 47.

The spelling of 67445354144 in words is "sixty-seven billion, four hundred forty-five million, three hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4816 9632 7002217 14004434 28008868 49015519 56017736 98031038 112035472 196062076 224070944 301095331 392124152 602190662 784248304 1204381324 1568496608 2107667317 2408762648 4215334634 4817525296 8430669268 9635050592 16861338536 33722677072 67445354144