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11722810080 = 253530677963
BaseRepresentation
bin10101110101011101…
…11110001011100000
31010020222112110021010
422322232332023200
5143002014410310
65215124300520
7563334145602
oct127256761340
933228473233
1011722810080
114a762477a3
122331b41740
13114a8c2217
147d2ca5172
1548926a320
hex2babbe2e0

11722810080 has 96 divisors (see below), whose sum is σ = 36943530624. Its totient is φ = 3124670976.

The previous prime is 11722810013. The next prime is 11722810087. The reversal of 11722810080 is 8001822711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11722810087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1468179 + ... + 1476141.

It is an arithmetic number, because the mean of its divisors is an integer number (384828444).

Almost surely, 211722810080 is an apocalyptic number.

11722810080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11722810080 is an abundant number, since it is smaller than the sum of its proper divisors (25220720544).

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

11722810080 is a wasteful number, since it uses less digits than its factorization.

11722810080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11048 (or 11040 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The spelling of 11722810080 in words is "eleven billion, seven hundred twenty-two million, eight hundred ten thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 3067 6134 7963 9201 12268 15335 15926 18402 23889 24536 30670 31852 36804 39815 46005 47778 49072 61340 63704 73608 79630 92010 95556 98144 119445 122680 127408 147216 159260 184020 191112 238890 245360 254816 294432 318520 368040 382224 477780 490720 637040 736080 764448 955560 1274080 1472160 1911120 3822240 24422521 48845042 73267563 97690084 122112605 146535126 195380168 244225210 293070252 366337815 390760336 488450420 586140504 732675630 781520672 976900840 1172281008 1465351260 1953801680 2344562016 2930702520 3907603360 5861405040 11722810080