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8678998768 = 241149312493
BaseRepresentation
bin10000001010100111…
…10000001011110000
3211101212001211002211
420011103300023300
5120233310430033
63553113021504
7425034162256
oct100523601360
924355054084
108678998768
113754083260
1218226b4894
13a8410b43b
145c49365d6
1535be202cd
hex2054f02f0

8678998768 has 20 divisors (see below), whose sum is σ = 18344247768. Its totient is φ = 3944999360.

The previous prime is 8678998759. The next prime is 8678998789.

8678998768 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86789987682 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8678998694 and 8678998703.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 24656071 + ... + 24656422.

Almost surely, 28678998768 is an apocalyptic number.

8678998768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8678998768 is an abundant number, since it is smaller than the sum of its proper divisors (9665249000).

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

8678998768 is a wasteful number, since it uses less digits than its factorization.

8678998768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49312512 (or 49312506 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 76.

The square root of 8678998768 is about 93161.1440891534. The cubic root of 8678998768 is about 2055.0538614788.

The spelling of 8678998768 in words is "eight billion, six hundred seventy-eight million, nine hundred ninety-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 49312493 98624986 197249972 394499944 542437423 788999888 1084874846 2169749692 4339499384 8678998768