Search a number
-
+
7384120830438 = 23112913931218893
BaseRepresentation
bin110101101110011111111…
…1001100010100111100110
3222010220201002001221202220
41223130333321202213212
51431440134413033223
623412115052013210
71361325253311222
oct153347771424746
928126632057686
107384120830438
112397651783610
129b3113161206
13417420238641
141b757151b782
15cc12801d6e3
hex6b73fe629e6

7384120830438 has 128 divisors (see below), whose sum is σ = 16793522726400. Its totient is φ = 2143982131200.

The previous prime is 7384120830431. The next prime is 7384120830479. The reversal of 7384120830438 is 8340380214837.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7384120830431) 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, 830325120 + ... + 830334012.

It is an arithmetic number, because the mean of its divisors is an integer number (131199396300).

Almost surely, 27384120830438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7384120830438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8396761363200).

7384120830438 is an abundant number, since it is smaller than the sum of its proper divisors (9409401895962).

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

7384120830438 is a wasteful number, since it uses less digits than its factorization.

7384120830438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12198.

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 7384120830438 in words is "seven trillion, three hundred eighty-four billion, one hundred twenty million, eight hundred thirty thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 139 174 278 319 417 638 834 957 1529 1914 3058 3121 4031 4587 6242 8062 8893 9174 9363 12093 17786 18726 24186 26679 34331 44341 53358 68662 88682 90509 97823 102993 133023 181018 195646 205986 257897 266046 271527 293469 433819 515794 543054 586938 773691 867638 995599 1236127 1301457 1547382 1991198 2472254 2602914 2836867 2986797 3708381 4772009 5673734 5973594 7416762 8510601 9544018 12580751 13597397 14316027 17021202 25161502 27194794 27755053 28632054 35847683 37742253 40792191 55510106 71695366 75484506 81584382 83265159 107543049 138388261 166530318 215086098 276776522 305305583 394324513 415164783 610611166 788649026 804896537 830329566 915916749 1182973539 1609793074 1831833498 2365947078 2414689611 3857952367 4829379222 7715904734 8853861907 11573857101 17707723814 23147714202 26561585721 42437476037 53123171442 84874952074 111880618643 127312428111 223761237286 254624856222 335641855929 671283711858 1230686805073 2461373610146 3692060415219 7384120830438