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2688934848 = 26317380953
BaseRepresentation
bin1010000001000101…
…1110001111000000
320221101201001011120
42200101132033000
521001331403343
61122453112240
7123430366125
oct24021361700
96841631146
102688934848
11115a919606
12630628680
1333b111112
141b719274c
1510b0eb683
hexa045e3c0

2688934848 has 56 divisors (see below), whose sum is σ = 7155685968. Its totient is φ = 891119616.

The previous prime is 2688934847. The next prime is 2688934849. The reversal of 2688934848 is 8484398862.

It is an interprime number because it is at equal distance from previous prime (2688934847) and next prime (2688934849).

It is a junction number, because it is equal to n+sod(n) for n = 2688934791 and 2688934800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688934841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7261 + ... + 73692.

Almost surely, 22688934848 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 2688934848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577842984).

2688934848 is an abundant number, since it is smaller than the sum of its proper divisors (4466751120).

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

2688934848 is a wasteful number, since it uses less digits than its factorization.

2688934848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81141 (or 81131 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 60.

The square root of 2688934848 is about 51854.9404396534. The cubic root of 2688934848 is about 1390.5718275931.

The spelling of 2688934848 in words is "two billion, six hundred eighty-eight million, nine hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 173 192 346 519 692 1038 1384 2076 2768 4152 5536 8304 11072 16608 33216 80953 161906 242859 323812 485718 647624 971436 1295248 1942872 2590496 3885744 5180992 7771488 14004869 15542976 28009738 42014607 56019476 84029214 112038952 168058428 224077904 336116856 448155808 672233712 896311616 1344467424 2688934848