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2168455536 = 2434131767113
BaseRepresentation
bin1000000101000000…
…0000000101110000
312121010022221210000
42001100000011300
513420111034121
6555101310000
7104510365542
oct20120000560
95533287700
102168455536
11a13044815
12506265300
132873386b0
14167dc9692
15ca58a526
hex81400170

2168455536 has 400 divisors, whose sum is σ = 7327593504. Its totient is φ = 613122048.

The previous prime is 2168455507. The next prime is 2168455561. The reversal of 2168455536 is 6355548612.

2168455536 is a `hidden beast` number, since 2 + 1 + 68 + 4 + 55 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2168455491 and 2168455500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19189816 + ... + 19189928.

Almost surely, 22168455536 is an apocalyptic number.

2168455536 is a gapful number since it is divisible by the number (26) 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 2168455536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3663796752).

2168455536 is an abundant number, since it is smaller than the sum of its proper divisors (5159137968).

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

2168455536 is a wasteful number, since it uses less digits than its factorization.

2168455536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 2168455536 is about 46566.6783870183. The cubic root of 2168455536 is about 1294.3453678170.

The spelling of 2168455536 in words is "two billion, one hundred sixty-eight million, four hundred fifty-five thousand, five hundred thirty-six".