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76538886671984 = 241112712372768191
BaseRepresentation
bin10001011001110010011001…
…001001101100111001110000
3101001000001020121111122111212
4101121302121021230321300
540013003114442000414
6430441251254055252
722056515651211242
oct2131623111547160
9331001217448455
1076538886671984
1122429a61186210
1287018ba34a528
1333927806ca839
1414c8705238092
158cae4347d83e
hex459c9926ce70

76538886671984 has 80 divisors (see below), whose sum is σ = 163181065076736. Its totient is φ = 34488547027200.

The previous prime is 76538886671957. The next prime is 76538886671987. The reversal of 76538886671984 is 48917668883567.

It is a junction number, because it is equal to n+sod(n) for n = 76538886671896 and 76538886671905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76538886671987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26265329 + ... + 29033519.

Almost surely, 276538886671984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76538886671984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81590532538368).

76538886671984 is an abundant number, since it is smaller than the sum of its proper divisors (86642178404752).

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

76538886671984 is a wasteful number, since it uses less digits than its factorization.

76538886671984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769574 (or 2769568 counting only the distinct ones).

The product of its digits is 23410114560, while the sum is 86.

The spelling of 76538886671984 in words is "seventy-six trillion, five hundred thirty-eight billion, eight hundred eighty-six million, six hundred seventy-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 127 176 254 508 1016 1237 1397 2032 2474 2794 4948 5588 9896 11176 13607 19792 22352 27214 54428 108856 157099 217712 314198 628396 1256792 1728089 2513584 2768191 3456178 5536382 6912356 11072764 13824712 22145528 27649424 30450101 44291056 60900202 121800404 243600808 351560257 487201616 703120514 1406241028 2812482056 3424252267 3867162827 5624964112 6848504534 7734325654 13697009068 15468651308 27394018136 30937302616 37666774937 54788036272 61874605232 75333549874 150667099748 301334199496 434880037909 602668398992 869760075818 1739520151636 3479040303272 4783680416999 6958080606544 9567360833998 19134721667996 38269443335992 76538886671984