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4253311504806 = 2371343563321779
BaseRepresentation
bin111101111001001101000…
…111110001000110100110
3120001121112120222102122120
4331321031013301012212
51024141240221123211
613013535550410410
7616202011162620
oct75711507610646
916047476872576
104253311504806
11139a901508451
125883a1500a06
1324b115c67410
14109c0b883c10
157598989ad06
hex3de4d1f11a6

4253311504806 has 128 divisors (see below), whose sum is σ = 10732233093120. Its totient is φ = 1093715699328.

The previous prime is 4253311504801. The next prime is 4253311504829. The reversal of 4253311504806 is 6084051133524.

It is a super-2 number, since 2×42533115048062 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4253311504801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13057225 + ... + 13379003.

It is an arithmetic number, because the mean of its divisors is an integer number (83845571040).

Almost surely, 24253311504806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4253311504806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366116546560).

4253311504806 is an abundant number, since it is smaller than the sum of its proper divisors (6478921588314).

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

4253311504806 is a wasteful number, since it uses less digits than its factorization.

4253311504806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322410.

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 4253311504806 in words is "four trillion, two hundred fifty-three billion, three hundred eleven million, five hundred four thousand, eight hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 43 78 86 91 129 182 258 273 301 546 559 563 602 903 1118 1126 1677 1689 1806 3354 3378 3913 3941 7319 7826 7882 11739 11823 14638 21957 23478 23646 24209 43914 48418 51233 72627 102466 145254 153699 169463 307398 314717 321779 338926 508389 629434 643558 944151 965337 1016778 1888302 1930674 2203019 2252453 4183127 4406038 4504906 6609057 6757359 8366254 12549381 13218114 13514718 13836497 25098762 27672994 29281889 41509491 58563778 83018982 87845667 96855479 175691334 179874461 181161577 193710958 290566437 359748922 362323154 539623383 543484731 581132874 1079246766 1086969462 1259121227 1268131039 2355100501 2518242454 2536262078 3777363681 3804393117 4710201002 7065301503 7554727362 7608786234 7789947811 14130603006 15579895622 16485703507 23369843433 32971407014 46739686866 49457110521 54529634677 98914221042 101269321543 109059269354 163588904031 202538643086 303807964629 327177808062 607615929258 708885250801 1417770501602 2126655752403 4253311504806