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69483677638496 = 25111947534170737
BaseRepresentation
bin11111100110001111011011…
…11011000101111101100000
3100010000120111222000011220112
433303013231323011331200
533101410032433412441
6403440205535230452
720431013210000522
oct1763075573057540
9303016458004815
1069483677638496
1120159953655970
12796249b078428
132ca038a0a5974
141323056959a12
1580766ae424eb
hex3f31edec5f60

69483677638496 has 192 divisors, whose sum is σ = 163455559787520. Its totient is φ = 28732033474560.

The previous prime is 69483677638469. The next prime is 69483677638537.

69483677638496 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×694836776384962 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14574440 + ... + 18745176.

It is an arithmetic number, because the mean of its divisors is an integer number (851331040560).

Almost surely, 269483677638496 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 69483677638496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81727779893760).

69483677638496 is an abundant number, since it is smaller than the sum of its proper divisors (93971882149024).

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

69483677638496 is a wasteful number, since it uses less digits than its factorization.

69483677638496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170877 (or 4170869 counting only the distinct ones).

The product of its digits is 47405481984, while the sum is 86.

The spelling of 69483677638496 in words is "sixty-nine trillion, four hundred eighty-three billion, six hundred seventy-seven million, six hundred thirty-eight thousand, four hundred ninety-six".