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28205086866768 = 24327833001112337
BaseRepresentation
bin1100110100111000000100…
…01011101111110101010000
310200212101020222222012101100
412122130002023233311100
512144103004214214033
6135553123225304400
75640515226445410
oct632340213576520
9120771228865340
1028205086866768
118a9478a25a799
1231b6402635100
13129796104b6a6
146d71c2412640
1533da2bb35513
hex19a7022efd50

28205086866768 has 240 divisors, whose sum is σ = 91329629279616. Its totient is φ = 7958780928000.

The previous prime is 28205086866757. The next prime is 28205086866779. The reversal of 28205086866768 is 86766868050282.

28205086866768 is a `hidden beast` number, since 28 + 20 + 508 + 6 + 8 + 6 + 6 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (28205086866757) and next prime (28205086866779).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28205086866696 and 28205086866705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251019496 + ... + 251131832.

Almost surely, 228205086866768 is an apocalyptic number.

28205086866768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28205086866768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45664814639808).

28205086866768 is an abundant number, since it is smaller than the sum of its proper divisors (63124542412848).

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

28205086866768 is a wasteful number, since it uses less digits than its factorization.

28205086866768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115442 (or 115433 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 28205086866768 in words is "twenty-eight trillion, two hundred five billion, eighty-six million, eight hundred sixty-six thousand, seven hundred sixty-eight".