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2064416550 = 2352721571789
BaseRepresentation
bin111101100001100…
…0111111100100110
312022212120020010020
41323003013330212
513211442312200
6540503340010
7102105152100
oct17303077446
95285506106
102064416550
1196a344789
12497451606
1326b90c671
14158266570
15c1388ea0
hex7b0c7f26

2064416550 has 144 divisors (see below), whose sum is σ = 5996915280. Its totient is φ = 468599040.

The previous prime is 2064416531. The next prime is 2064416551. The reversal of 2064416550 is 556144602.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064416551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1153056 + ... + 1154844.

It is an arithmetic number, because the mean of its divisors is an integer number (41645245).

Almost surely, 22064416550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2064416550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998457640).

2064416550 is an abundant number, since it is smaller than the sum of its proper divisors (3932498730).

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

2064416550 is a wasteful number, since it uses less digits than its factorization.

2064416550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2064416550 is about 45435.8509329362. The cubic root of 2064416550 is about 1273.3049986994.

The spelling of 2064416550 in words is "two billion, sixty-four million, four hundred sixteen thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 157 175 210 245 294 314 350 471 490 525 735 785 942 1050 1099 1225 1470 1570 1789 2198 2355 2450 3297 3578 3675 3925 4710 5367 5495 6594 7350 7693 7850 8945 10734 10990 11775 12523 15386 16485 17890 23079 23550 25046 26835 27475 32970 37569 38465 44725 46158 53670 54950 62615 75138 76930 82425 87661 89450 115395 125230 134175 164850 175322 187845 192325 230790 262983 268350 280873 313075 375690 384650 438305 525966 561746 576975 626150 842619 876610 939225 1153950 1314915 1404365 1685238 1878450 1966111 2191525 2629830 2808730 3932222 4213095 4383050 5898333 6574575 7021825 8426190 9830555 11796666 13149150 13762777 14043650 19661110 21065475 27525554 29491665 41288331 42130950 49152775 58983330 68813885 82576662 98305550 137627770 147458325 206441655 294916650 344069425 412883310 688138850 1032208275 2064416550