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11920596324 = 223721313711383
BaseRepresentation
bin10110001101000010…
…11101110101100100
31010202202201000222120
423012201131311210
5143403133040244
65250511425540
7601255253100
oct130641356544
933682630876
1011920596324
1150679584aa
1223882252b0
13117c8829c0
1481126c900
1549b7d8819
hex2c685dd64

11920596324 has 144 divisors (see below), whose sum is σ = 35102245248. Its totient is φ = 3120671232.

The previous prime is 11920596319. The next prime is 11920596341. The reversal of 11920596324 is 42369502911.

11920596324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1041537 + ... + 1052919.

It is an arithmetic number, because the mean of its divisors is an integer number (243765592).

Almost surely, 211920596324 is an apocalyptic number.

11920596324 is a gapful number since it is divisible by the number (14) 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 11920596324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17551122624).

11920596324 is an abundant number, since it is smaller than the sum of its proper divisors (23181648924).

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

11920596324 is a wasteful number, since it uses less digits than its factorization.

11920596324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11554 (or 11545 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 11920596324 in words is "eleven billion, nine hundred twenty million, five hundred ninety-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 137 147 156 182 196 273 274 294 364 411 546 548 588 637 822 959 1092 1274 1644 1781 1911 1918 2548 2877 3562 3822 3836 5343 5754 6713 7124 7644 10686 11383 11508 12467 13426 20139 21372 22766 24934 26852 34149 37401 40278 45532 49868 68298 74802 79681 80556 87269 136596 147979 149604 159362 174538 239043 261807 295958 318724 349076 443937 478086 523614 557767 591916 887874 956172 1035853 1047228 1115534 1559471 1673301 1775748 2071706 2231068 3107559 3118942 3346602 4143412 4678413 6215118 6237884 6693204 7250971 9356826 10916297 12430236 14501942 18713652 20273123 21752913 21832594 29003884 32748891 40546246 43505826 43665188 60819369 65497782 76414079 81092492 87011652 121638738 130995564 141911861 152828158 229242237 243277476 283823722 305656316 425735583 458484474 567647444 851471166 916968948 993383027 1702942332 1986766054 2980149081 3973532108 5960298162 11920596324