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40673464128 = 2632116419423
BaseRepresentation
bin100101111000010100…
…111100111101000000
310212222121022001121100
4211320110330331000
51131244401323003
630403553254400
72636632512033
oct457024747500
9125877261540
1040673464128
1116282123670
127a71564400
133ab276064b
141d7bbd901a
1510d0bb6ba3
hex97853cf40

40673464128 has 84 divisors (see below), whose sum is σ = 127181628288. Its totient is φ = 12325290240.

The previous prime is 40673464127. The next prime is 40673464147. The reversal of 40673464128 is 82146437604.

40673464128 is a `hidden beast` number, since 4 + 0 + 67 + 3 + 464 + 128 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40673464127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3203376 + ... + 3216047.

Almost surely, 240673464128 is an apocalyptic number.

40673464128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40673464128 is an abundant number, since it is smaller than the sum of its proper divisors (86508164160).

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

40673464128 is a wasteful number, since it uses less digits than its factorization.

40673464128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6419452 (or 6419439 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 40673464128 in words is "forty billion, six hundred seventy-three million, four hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 6419423 12838846 19258269 25677692 38516538 51355384 57774807 70613653 77033076 102710768 115549614 141227306 154066152 205421536 211840959 231099228 282454612 308132304 410843072 423681918 462198456 564909224 616264608 635522877 847363836 924396912 1129818448 1232529216 1271045754 1694727672 1848793824 2259636896 2542091508 3389455344 3697587648 4519273792 5084183016 6778910688 10168366032 13557821376 20336732064 40673464128