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2050704144 = 2432293111579
BaseRepresentation
bin111101000111011…
…0100001100010000
312021220202120020100
41322032310030100
513144440013034
6535253412400
7101550461166
oct17216641420
95256676210
102050704144
11962629415
1249293a100
13268b1b108
141564d7236
15c007b099
hex7a3b4310

2050704144 has 120 divisors (see below), whose sum is σ = 5959886400. Its totient is φ = 657457920.

The previous prime is 2050704119. The next prime is 2050704193. The reversal of 2050704144 is 4414070502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1297947 + ... + 1299525.

It is an arithmetic number, because the mean of its divisors is an integer number (49665720).

Almost surely, 22050704144 is an apocalyptic number.

2050704144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050704144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979943200).

2050704144 is an abundant number, since it is smaller than the sum of its proper divisors (3909182256).

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

2050704144 is a wasteful number, since it uses less digits than its factorization.

2050704144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2050704144 is about 45284.7009927194. The cubic root of 2050704144 is about 1270.4795229730.

Adding to 2050704144 its reverse (4414070502), we get a palindrome (6464774646).

The spelling of 2050704144 in words is "two billion, fifty million, seven hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 311 348 464 522 622 696 933 1044 1244 1392 1579 1866 2088 2488 2799 3158 3732 4176 4737 4976 5598 6316 7464 9019 9474 11196 12632 14211 14928 18038 18948 22392 25264 27057 28422 36076 37896 44784 45791 54114 56844 72152 75792 81171 91582 108228 113688 137373 144304 162342 183164 216456 227376 274746 324684 366328 412119 432912 491069 549492 649368 732656 824238 982138 1098984 1298736 1473207 1648476 1964276 2197968 2946414 3296952 3928552 4419621 5892828 6593904 7857104 8839242 11785656 14241001 17678484 23571312 28482002 35356968 42723003 56964004 70713936 85446006 113928008 128169009 170892012 227856016 256338018 341784024 512676036 683568048 1025352072 2050704144