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2688718452 = 2237199239673
BaseRepresentation
bin1010000001000010…
…1001011001110100
320221101022001022220
42200100221121310
521001302442302
61122444322340
7123425505210
oct24020513164
96841261286
102688718452
11115a790a72
126305433b0
1333b066784
141b7137940
1510b0a74bc
hexa0429674

2688718452 has 96 divisors (see below), whose sum is σ = 7246848000. Its totient is φ = 760015872.

The previous prime is 2688718429. The next prime is 2688718463. The reversal of 2688718452 is 2548178862.

It is a junction number, because it is equal to n+sod(n) for n = 2688718395 and 2688718404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3994788 + ... + 3995460.

It is an arithmetic number, because the mean of its divisors is an integer number (75488000).

Almost surely, 22688718452 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 2688718452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623424000).

2688718452 is an abundant number, since it is smaller than the sum of its proper divisors (4558129548).

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

2688718452 is a wasteful number, since it uses less digits than its factorization.

2688718452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1123 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 51.

The square root of 2688718452 is about 51852.8538462446. The cubic root of 2688718452 is about 1390.5345238191.

The spelling of 2688718452 in words is "two billion, six hundred eighty-eight million, seven hundred eighteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 199 239 398 478 597 673 717 796 956 1194 1346 1393 1434 1673 2019 2388 2692 2786 2868 3346 4038 4179 4711 5019 5572 6692 8076 8358 9422 10038 14133 16716 18844 20076 28266 47561 56532 95122 133927 142683 160847 190244 267854 285366 321694 332927 401781 482541 535708 570732 643388 665854 803562 937489 965082 998781 1125929 1331708 1607124 1874978 1930164 1997562 2251858 2812467 3377787 3749956 3995124 4503716 5624934 6755574 11249868 13511148 32008553 64017106 96025659 128034212 192051318 224059871 384102636 448119742 672179613 896239484 1344359226 2688718452