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35422466422453 = 11731131377094019
BaseRepresentation
bin10000000110111011011111…
…00001110011011010110101
311122102100120120220202200121
420003131233201303122311
514120330202401004303
6203200504553211541
710314121511446315
oct1003355741633265
9148370516822617
1035422466422453
11103176469196a0
123b81140400bb1
13169c42a4c0436
148a66569ab445
154166464569bd
hex20376f8736b5

35422466422453 has 64 divisors (see below), whose sum is σ = 39873219667200. Its totient is φ = 31198421237760.

The previous prime is 35422466422393. The next prime is 35422466422481.

35422466422453 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-35422466422453 is a prime.

It is a super-3 number, since 3×354224664224533 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 35422466422453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35422466422753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8813749278 + ... + 8813753296.

It is an arithmetic number, because the mean of its divisors is an integer number (623019057300).

Almost surely, 235422466422453 is an apocalyptic number.

It is an amenable number.

35422466422453 is a deficient number, since it is larger than the sum of its proper divisors (4450753244747).

35422466422453 is a wasteful number, since it uses less digits than its factorization.

35422466422453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062.

The product of its digits is 33177600, while the sum is 52.

It can be divided in two parts, 3542246 and 6422453, that added together give a palindrome (9964699).

The spelling of 35422466422453 in words is "thirty-five trillion, four hundred twenty-two billion, four hundred sixty-six million, four hundred twenty-two thousand, four hundred fifty-three".

Divisors: 1 11 73 113 137 709 803 1243 1507 4019 7799 8249 10001 15481 44209 51757 80117 90739 97133 110011 170291 293387 454147 550603 569327 881287 1068463 1130113 2849471 3227257 4995617 5848541 6056633 7090709 10976029 12431243 31344181 33152731 40194019 62218139 64333951 77997799 120736319 208011383 321990223 364680041 390377527 442134209 684399529 801250117 2288125213 3541892453 4294152797 4541924147 8813751287 23505286279 28497559471 44112660551 49961165617 258558149069 313473154181 485239266061 3220224220223 35422466422453