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11923385040 = 2432572365751
BaseRepresentation
bin10110001101011000…
…00110101011010000
31010202221221201101100
423012230012223100
5143404341310130
65251051304400
7601321046340
oct130654065320
933687851340
1011923385040
115069492726
12238914b100
13118031b128
14811796d20
1549bb89c60
hex2c6b06ad0

11923385040 has 120 divisors (see below), whose sum is σ = 45763106688. Its totient is φ = 2725344000.

The previous prime is 11923385011. The next prime is 11923385041. The reversal of 11923385040 is 4058332911.

11923385040 is a `hidden beast` number, since 119 + 2 + 3 + 38 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×119233850402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11923384986 and 11923385004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11923385041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1177836 + ... + 1187915.

Almost surely, 211923385040 is an apocalyptic number.

11923385040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11923385040 is an abundant number, since it is smaller than the sum of its proper divisors (33839721648).

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

11923385040 is a wasteful number, since it uses less digits than its factorization.

11923385040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365777 (or 2365768 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

It can be divided in two parts, 1192338 and 5040, that added together give a triangular number (1197378 = T1547).

The spelling of 11923385040 in words is "eleven billion, nine hundred twenty-three million, three hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 2365751 4731502 7097253 9463004 11828755 14194506 16560257 18926008 21291759 23657510 28389012 33120514 35486265 37852016 42583518 47315020 49680771 56778024 66241028 70972530 82801285 85167036 94630040 99361542 106458795 113556048 132482056 141945060 149042313 165602570 170334072 189260080 198723084 212917590 248403855 264964112 283890120 298084626 331205140 340668144 397446168 425835180 496807710 567780240 596169252 662410280 745211565 794892336 851670360 993615420 1192338504 1324820560 1490423130 1703340720 1987230840 2384677008 2980846260 3974461680 5961692520 11923385040