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20417066334 = 2337173177259
BaseRepresentation
bin10011000000111100…
…111011010101011110
31221200220022102201000
4103000330323111132
5313303232110314
613213544331130
71321645125510
oct230074732536
957626272630
1020417066334
1187279a1145
123b59773aa6
131c04c13252
14db984dbb0
157e76a1209
hex4c0f3b55e

20417066334 has 64 divisors (see below), whose sum is σ = 54903052800. Its totient is φ = 5490301824.

The previous prime is 20417066321. The next prime is 20417066347. The reversal of 20417066334 is 43366071402.

It is a happy number.

20417066334 is a `hidden beast` number, since 2 + 0 + 4 + 17 + 0 + 6 + 633 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (20417066321) and next prime (20417066347).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1582204 + ... + 1595055.

It is an arithmetic number, because the mean of its divisors is an integer number (857860200).

Almost surely, 220417066334 is an apocalyptic number.

20417066334 is an abundant number, since it is smaller than the sum of its proper divisors (34485986466).

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

20417066334 is a wasteful number, since it uses less digits than its factorization.

20417066334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177294 (or 3177288 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 20417066334 in words is "twenty billion, four hundred seventeen million, sixty-six thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 3177259 6354518 9531777 19063554 22240813 28595331 44481626 54013403 57190662 66722439 85785993 108026806 133444878 162040209 171571986 200167317 324080418 378093821 400334634 486120627 600501951 756187642 972241254 1134281463 1201003902 1458361881 2268562926 2916723762 3402844389 6805688778 10208533167 20417066334