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2688422436 = 2232722324367
BaseRepresentation
bin1010000000111110…
…0001001000100100
320221100202000021100
42200033201020210
521001214004221
61122434120100
7123423133200
oct24017411044
96840660240
102688422436
11115a5a9627
12630420030
1333ac91b0b
141b709bb00
1510b049926
hexa03e1224

2688422436 has 324 divisors, whose sum is σ = 8582285712. Its totient is φ = 706926528.

The previous prime is 2688422383. The next prime is 2688422489. The reversal of 2688422436 is 6342248862.

It is an interprime number because it is at equal distance from previous prime (2688422383) and next prime (2688422489).

It is a junction number, because it is equal to n+sod(n) for n = 2688422391 and 2688422400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 40125675 + ... + 40125741.

Almost surely, 22688422436 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 2688422436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291142856).

2688422436 is an abundant number, since it is smaller than the sum of its proper divisors (5893863276).

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

2688422436 is a wasteful number, since it uses less digits than its factorization.

2688422436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 145 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 2688422436 is about 51849.9993828351. Note that the first 3 decimals coincide. The cubic root of 2688422436 is about 1390.4834913810.

The spelling of 2688422436 in words is "two billion, six hundred eighty-eight million, four hundred twenty-two thousand, four hundred thirty-six".