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2051641152 = 263211229437
BaseRepresentation
bin111101001001001…
…1000111101000000
312021222112011120100
41322102120331000
513200210004102
6535325442400
7101561443041
oct17222307500
95258464510
102051641152
11963109400
12493110400
13269088762
1415669c8c8
15c01b3a1c
hex7a498f40

2051641152 has 126 divisors (see below), whose sum is σ = 6464084354. Its totient is φ = 621688320.

The previous prime is 2051641127. The next prime is 2051641153. The reversal of 2051641152 is 2511461502.

2051641152 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 641 + 15 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2037980736 + 13660416 = 45144^2 + 3696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051641153) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54978 + ... + 84414.

Almost surely, 22051641152 is an apocalyptic number.

2051641152 is a gapful number since it is divisible by the number (22) 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 2051641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232042177).

2051641152 is an abundant number, since it is smaller than the sum of its proper divisors (4412443202).

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

2051641152 is a wasteful number, since it uses less digits than its factorization.

2051641152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29477 (or 29453 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2051641152 is about 45295.0455568818. The cubic root of 2051641152 is about 1270.6729960642.

The spelling of 2051641152 in words is "two billion, fifty-one million, six hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 132 144 176 192 198 242 264 288 352 363 396 484 528 576 704 726 792 968 1056 1089 1452 1584 1936 2112 2178 2904 3168 3872 4356 5808 6336 7744 8712 11616 17424 23232 29437 34848 58874 69696 88311 117748 176622 235496 264933 323807 353244 470992 529866 647614 706488 941984 971421 1059732 1295228 1412976 1883968 1942842 2119464 2590456 2825952 2914263 3561877 3885684 4238928 5180912 5651904 5828526 7123754 7771368 8477856 10361824 10685631 11657052 14247508 15542736 16955712 20723648 21371262 23314104 28495016 31085472 32056893 42742524 46628208 56990032 62170944 64113786 85485048 93256416 113980064 128227572 170970096 186512832 227960128 256455144 341940192 512910288 683880384 1025820576 2051641152