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83962768512 = 273724462307
BaseRepresentation
bin100111000110010010…
…0100010110010000000
322000201111202120110010
41032030210202302000
52333423432043022
6102323313304520
76031450520400
oct1161444426200
9260644676403
1083962768512
1132676880787
1214332b65140
137bc111bb5c
1440c719a800
1522b633c50c
hex138c922c80

83962768512 has 96 divisors (see below), whose sum is σ = 259438587120. Its totient is φ = 23989357056.

The previous prime is 83962768471. The next prime is 83962768517. The reversal of 83962768512 is 21586726938.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (83962768517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2212338 + ... + 2249969.

Almost surely, 283962768512 is an apocalyptic number.

It is an amenable number.

83962768512 is an abundant number, since it is smaller than the sum of its proper divisors (175475818608).

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

83962768512 is a wasteful number, since it uses less digits than its factorization.

83962768512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462338 (or 4462319 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 57.

The spelling of 83962768512 in words is "eighty-three billion, nine hundred sixty-two million, seven hundred sixty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 18816 4462307 8924614 13386921 17849228 26773842 31236149 35698456 53547684 62472298 71396912 93708447 107095368 124944596 142793824 187416894 214190736 218653043 249889192 285587648 374833788 428381472 437306086 499778384 571175296 655959129 749667576 856762944 874612172 999556768 1311918258 1499335152 1713525888 1749224344 1999113536 2623836516 2998670304 3498448688 3998227072 5247673032 5997340608 6996897376 10495346064 11994681216 13993794752 20990692128 27987589504 41981384256 83962768512