Search a number
-
+
11922791040 = 273252069929
BaseRepresentation
bin10110001101010011…
…10101101010000000
31010202220211112120100
423012221311222000
5143404213303130
65251030442400
7601313023506
oct130651655200
933686745510
1011922791040
115069117416
122388b03400
131180170954
14811680676
1549babdc60
hex2c6a75a80

11922791040 has 96 divisors (see below), whose sum is σ = 41170907700. Its totient is φ = 3179409408.

The previous prime is 11922791039. The next prime is 11922791047. The reversal of 11922791040 is 4019722911.

It can be written as a sum of positive squares in 2 ways, for example, as 11856596544 + 66194496 = 108888^2 + 8136^2 .

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

It is a super-3 number, since 3×119227910403 (a number of 31 digits) contains 333 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 = 11922790986 and 11922791004.

It is not an unprimeable number, because it can be changed into a prime (11922791047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1029205 + ... + 1040724.

Almost surely, 211922791040 is an apocalyptic number.

11922791040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11922791040 is an abundant number, since it is smaller than the sum of its proper divisors (29248116660).

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

11922791040 is a wasteful number, since it uses less digits than its factorization.

11922791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069954 (or 2069939 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 11922791040 in words is "eleven billion, nine hundred twenty-two million, seven hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 2069929 4139858 6209787 8279716 10349645 12419574 16559432 18629361 20699290 24839148 31048935 33118864 37258722 41398580 49678296 62097870 66237728 74517444 82797160 93146805 99356592 124195740 132475456 149034888 165594320 186293610 198713184 248391480 264950912 298069776 331188640 372587220 397426368 496782960 596139552 662377280 745174440 794852736 993565920 1192279104 1324754560 1490348880 1987131840 2384558208 2980697760 3974263680 5961395520 11922791040