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3996754537672 = 2313417113201763
BaseRepresentation
bin111010001010010001001…
…000100110110011001000
3112011002022200210010120201
4322022101020212303020
51010440323130201142
612300030024301544
7561520206014611
oct72122110466310
915132280703521
103996754537672
1113010178177a6
125467210118b4
1322cb7a600020
14db6302bcc08
156de710cbab7
hex3a291226cc8

3996754537672 has 64 divisors (see below), whose sum is σ = 8383648210560. Its totient is φ = 1774316812800.

The previous prime is 3996754537621. The next prime is 3996754537673. The reversal of 3996754537672 is 2767354576993.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3996754537595 and 3996754537604.

It is not an unprimeable number, because it can be changed into a prime (3996754537673) 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 15 ways as a sum of consecutive naturals, for example, 6298138 + ... + 6903625.

It is an arithmetic number, because the mean of its divisors is an integer number (130994503290).

Almost surely, 23996754537672 is an apocalyptic number.

It is an amenable number.

3996754537672 is an abundant number, since it is smaller than the sum of its proper divisors (4386893672888).

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

3996754537672 is a wasteful number, since it uses less digits than its factorization.

3996754537672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13201894 (or 13201890 counting only the distinct ones).

The product of its digits is 1800338400, while the sum is 73.

The spelling of 3996754537672 in words is "three trillion, nine hundred ninety-six billion, seven hundred fifty-four million, five hundred thirty-seven thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 26 41 52 71 82 104 142 164 284 328 533 568 923 1066 1846 2132 2911 3692 4264 5822 7384 11644 23288 37843 75686 151372 302744 13201763 26403526 52807052 105614104 171622919 343245838 541272283 686491676 937325173 1082544566 1372983352 1874650346 2165089132 3749300692 4330178264 7036539679 7498601384 12185227249 14073079358 24370454498 28146158716 38430332093 48740908996 56292317432 76860664186 97481817992 153721328372 307442656744 499594317209 999188634418 1998377268836 3996754537672