Search a number
-
+
4292276348052 = 2233711516146747
BaseRepresentation
bin111110011101011111100…
…110110110010010010100
3120012100010010012120001000
4332131133212312102110
51030311040221114202
613043502230303300
7622051415655660
oct76353746662224
916170103176030
104292276348052
11140538710a940
12593a567b7b30
132519b5720594
1410ba667918a0
15769ba55991c
hex3e75f9b6494

4292276348052 has 96 divisors (see below), whose sum is σ = 13874024586240. Its totient is φ = 1114876971360.

The previous prime is 4292276348039. The next prime is 4292276348053. The reversal of 4292276348052 is 2508436722924.

4292276348052 is a `hidden beast` number, since 4 + 2 + 92 + 2 + 76 + 3 + 480 + 5 + 2 = 666.

It is a super-2 number, since 2×42922763480522 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4292276348052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4292276348053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258065058 + ... + 258081689.

It is an arithmetic number, because the mean of its divisors is an integer number (144521089440).

Almost surely, 24292276348052 is an apocalyptic number.

4292276348052 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4292276348052 is an abundant number, since it is smaller than the sum of its proper divisors (9581748238188).

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

4292276348052 is a wasteful number, since it uses less digits than its factorization.

4292276348052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516146778 (or 516146770 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4292276348052 in words is "four trillion, two hundred ninety-two billion, two hundred seventy-six million, three hundred forty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 516146747 1032293494 1548440241 2064586988 3096880482 3613027229 4645320723 5677614217 6193760964 7226054458 9290641446 10839081687 11355228434 13935962169 14452108916 17032842651 18581282892 21678163374 22710456868 27871924338 32517245061 34065685302 39743299519 43356326748 51098527953 55743848676 65034490122 68131370604 79486599038 97551735183 102197055906 119229898557 130068980244 153295583859 158973198076 195103470366 204394111812 238459797114 306591167718 357689695671 390206940732 476919594228 613182335436 715379391342 1073069087013 1430758782684 2146138174026 4292276348052