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83172663141248 = 2717165983230281
BaseRepresentation
bin10010111010010100100101…
…000010101010001110000000
3101220111020011220021200012102
4102322110211002222032000
541400200103231004443
6452520554410245532
723343012061632662
oct2272244502521600
9356436156250172
1083172663141248
112455736804446a
1293b35047268a8
1337541c1298b05
1416778150c0532
159937a26cbcb8
hex4ba5250aa380

83172663141248 has 64 divisors (see below), whose sum is σ = 175444155169920. Its totient is φ = 39139670999040.

The previous prime is 83172663141193. The next prime is 83172663141307. The reversal of 83172663141248 is 84214136627138.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 83172663141193 and 83172663141202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361063868 + ... + 361294148.

It is an arithmetic number, because the mean of its divisors is an integer number (2741314924530).

Almost surely, 283172663141248 is an apocalyptic number.

It is an amenable number.

83172663141248 is an abundant number, since it is smaller than the sum of its proper divisors (92271492028672).

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

83172663141248 is a wasteful number, since it uses less digits than its factorization.

83172663141248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396295 (or 396283 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 56.

The spelling of 83172663141248 in words is "eighty-three trillion, one hundred seventy-two billion, six hundred sixty-three million, one hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 165983 230281 331966 460562 663932 921124 1327864 1842248 2655728 2821711 3684496 3914777 5311456 5643422 7368992 7829554 10622912 11286844 14737984 15659108 21245824 22573688 29475968 31318216 45147376 62636432 90294752 125272864 180589504 250545728 361179008 501091456 38222731223 76445462446 152890924892 305781849784 611563699568 649786430791 1223127399136 1299572861582 2446254798272 2599145723164 4892509596544 5198291446328 10396582892656 20793165785312 41586331570624 83172663141248