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2683542064 = 247191996337
BaseRepresentation
bin1001111111110011…
…1001101000110000
320221000120001122211
42133330321220300
520443441321224
61122141341504
7123333505540
oct23774715060
96830501584
102683542064
111157875965
1262a867894
13339c73618
141b658b320
1510a8d3894
hex9ff39a30

2683542064 has 80 divisors (see below), whose sum is σ = 6287296000. Its totient is φ = 1083912192.

The previous prime is 2683542053. The next prime is 2683542079. The reversal of 2683542064 is 4602453862.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420304 + ... + 426640.

It is an arithmetic number, because the mean of its divisors is an integer number (78591200).

Almost surely, 22683542064 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 2683542064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143648000).

2683542064 is an abundant number, since it is smaller than the sum of its proper divisors (3603753936).

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

2683542064 is a wasteful number, since it uses less digits than its factorization.

2683542064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6570 (or 6564 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The square root of 2683542064 is about 51802.9155936227. The cubic root of 2683542064 is about 1389.6415865927.

The spelling of 2683542064 in words is "two billion, six hundred eighty-three million, five hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 199 266 304 398 532 796 1064 1393 1592 2128 2786 3184 3781 5572 6337 7562 11144 12674 15124 22288 25348 26467 30248 44359 50696 52934 60496 88718 101392 105868 120403 177436 211736 240806 354872 423472 481612 709744 842821 963224 1261063 1685642 1926448 2522126 3371284 5044252 6742568 8827441 10088504 13485136 17654882 20177008 23960197 35309764 47920394 70619528 95840788 141239056 167721379 191681576 335442758 383363152 670885516 1341771032 2683542064