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2146218448 = 2411173719387
BaseRepresentation
bin111111111101100…
…1011000111010000
312112120111012020011
41333323023013100
513343412442243
6552544524304
7104120361433
oct17773130720
95476435204
102146218448
11a01536760
124ba920694
13282850c5a
1416507b81a
15c864689d
hex7fecb1d0

2146218448 has 80 divisors (see below), whose sum is σ = 4933237824. Its totient is φ = 893306880.

The previous prime is 2146218439. The next prime is 2146218463. The reversal of 2146218448 is 8448126412.

It is a self number, because there is not a number n which added to its sum of digits gives 2146218448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101011 + ... + 120397.

Almost surely, 22146218448 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 2146218448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466618912).

2146218448 is an abundant number, since it is smaller than the sum of its proper divisors (2787019376).

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

2146218448 is a wasteful number, since it uses less digits than its factorization.

2146218448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19460 (or 19454 counting only the distinct ones).

The product of its digits is 98304, while the sum is 40.

The square root of 2146218448 is about 46327.2970072721. The cubic root of 2146218448 is about 1289.9057375587.

The spelling of 2146218448 in words is "two billion, one hundred forty-six million, two hundred eighteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 22 34 37 44 68 74 88 136 148 176 187 272 296 374 407 592 629 748 814 1258 1496 1628 2516 2992 3256 5032 6512 6919 10064 13838 19387 27676 38774 55352 77548 110704 155096 213257 310192 329579 426514 659158 717319 853028 1318316 1434638 1706056 2636632 2869276 3412112 3625369 5273264 5738552 7250738 7890509 11477104 12194423 14501476 15781018 24388846 29002952 31562036 48777692 58005904 63124072 97555384 126248144 134138653 195110768 268277306 536554612 1073109224 2146218448