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2051414424 = 23345953657
BaseRepresentation
bin111101001000110…
…0001100110011000
312021222002122120000
41322101201212120
513200130230144
6535320533000
7101556510033
oct17221414630
95258078500
102051414424
11962a74024
12493021160
132690094b7
1415664001a
15c016b769
hex7a461998

2051414424 has 80 divisors (see below), whose sum is σ = 5843356200. Its totient is φ = 672202368.

The previous prime is 2051414419. The next prime is 2051414461. The reversal of 2051414424 is 4244141502.

2051414424 is a `hidden beast` number, since 2 + 0 + 514 + 144 + 2 + 4 = 666.

It is a super-2 number, since 2×20514144242 = 8416602277990503552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11404 + ... + 65060.

Almost surely, 22051414424 is an apocalyptic number.

2051414424 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 2051414424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921678100).

2051414424 is an abundant number, since it is smaller than the sum of its proper divisors (3791941776).

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

2051414424 is a wasteful number, since it uses less digits than its factorization.

2051414424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53734 (or 53721 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2051414424 is about 45292.5426974463. The cubic root of 2051414424 is about 1270.6261867477.

Adding to 2051414424 its reverse (4244141502), we get a palindrome (6295555926).

The spelling of 2051414424 in words is "two billion, fifty-one million, four hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 216 236 324 354 472 531 648 708 1062 1416 1593 2124 3186 4248 4779 6372 9558 12744 19116 38232 53657 107314 160971 214628 321942 429256 482913 643884 965826 1287768 1448739 1931652 2897478 3165763 3863304 4346217 5794956 6331526 8692434 9497289 11589912 12663052 17384868 18994578 25326104 28491867 34769736 37989156 56983734 75978312 85475601 113967468 170951202 227934936 256426803 341902404 512853606 683804808 1025707212 2051414424