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2685613824 = 283219311979
BaseRepresentation
bin1010000000010011…
…0011011100000000
320221011110022120200
42200010303130000
521000004120244
61122254005200
7123360224625
oct24004633400
96834408520
102685613824
111158a60463
1262b4a6800
1333a51a60a
141b696a34c
1510ab92669
hexa0133700

2685613824 has 216 divisors, whose sum is σ = 8418009600. Its totient is φ = 820316160.

The previous prime is 2685613823. The next prime is 2685613841. The reversal of 2685613824 is 4283165862.

2685613824 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 613 + 8 + 24 = 666.

It is a super-2 number, since 2×26856138242 = 14425043223319805952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2685613824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2685613823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1356067 + ... + 1358045.

Almost surely, 22685613824 is an apocalyptic number.

2685613824 is a gapful number since it is divisible by the number (24) 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 2685613824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209004800).

2685613824 is an abundant number, since it is smaller than the sum of its proper divisors (5732395776).

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

2685613824 is a wasteful number, since it uses less digits than its factorization.

2685613824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2034 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2685613824 is about 51822.9082935337. The cubic root of 2685613824 is about 1389.9991070160. Note that the first 3 decimals are identical.

The spelling of 2685613824 in words is "two billion, six hundred eighty-five million, six hundred thirteen thousand, eight hundred twenty-four".