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34220056365 = 3351137336173
BaseRepresentation
bin11111110111101011…
…001001111100101101
310021022212001222102000
4133313223021330231
51030040313300430
623415342322513
72321001452115
oct376753117455
9107285058360
1034220056365
1113570369920
126770289439
1332c4773a81
141928ac2045
15d5436ae60
hex7f7ac9f2d

34220056365 has 64 divisors (see below), whose sum is σ = 66394702080. Its totient is φ = 16584410880.

The previous prime is 34220056363. The next prime is 34220056427. The reversal of 34220056365 is 56365002243.

34220056365 is a `hidden beast` number, since 3 + 42 + 200 + 56 + 365 = 666.

It is not a de Polignac number, because 34220056365 - 21 = 34220056363 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34220056363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5540419 + ... + 5546591.

It is an arithmetic number, because the mean of its divisors is an integer number (1037417220).

Almost surely, 234220056365 is an apocalyptic number.

It is an amenable number.

34220056365 is a deficient number, since it is larger than the sum of its proper divisors (32174645715).

34220056365 is a wasteful number, since it uses less digits than its factorization.

34220056365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9931 (or 9925 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 34220056365 in words is "thirty-four billion, two hundred twenty million, fifty-six thousand, three hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 3733 6173 11199 18519 18665 30865 33597 41063 55557 55995 67903 92595 100791 123189 166671 167985 203709 205315 277785 339515 369567 503955 611127 615945 833355 1018545 1108701 1833381 1847835 3055635 5543505 9166905 23043809 69131427 115219045 207394281 253481899 345657135 622182843 760445697 1036971405 1267409495 2281337091 3110914215 3802228485 6844011273 11406685455 34220056365