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11722574340 = 2234557712541
BaseRepresentation
bin10101110101011100…
…00100101000000100
31010020222002110220000
422322232010220010
5143001434334330
65215115241300
7563332144401
oct127256045004
933228073800
1011722574340
114a760a6674
122331a49230
13114a83bb29
147d2c432a8
15489220560
hex2bab84a04

11722574340 has 120 divisors (see below), whose sum is σ = 36840820632. Its totient is φ = 3120353280.

The previous prime is 11722574333. The next prime is 11722574371. The reversal of 11722574340 is 4347522711.

11722574340 is a `hidden beast` number, since 1 + 172 + 2 + 57 + 434 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6927565824 + 4795008516 = 83232^2 + 69246^2 .

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 = 11722574295 and 11722574304.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 928470 + ... + 941010.

Almost surely, 211722574340 is an apocalyptic number.

11722574340 is a gapful number since it is divisible by the number (10) 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 11722574340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18420410316).

11722574340 is an abundant number, since it is smaller than the sum of its proper divisors (25118246292).

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

11722574340 is a wasteful number, since it uses less digits than its factorization.

11722574340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13139 (or 13128 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 11722574340 in words is "eleven billion, seven hundred twenty-two million, five hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 577 810 1154 1620 1731 2308 2885 3462 5193 5770 6924 8655 10386 11540 12541 15579 17310 20772 25082 25965 31158 34620 37623 46737 50164 51930 62316 62705 75246 77895 93474 103860 112869 125410 150492 155790 186948 188115 225738 233685 250820 311580 338607 376230 451476 467370 564345 677214 752460 934740 1015821 1128690 1354428 1693035 2031642 2257380 3386070 4063284 5079105 6772140 7236157 10158210 14472314 20316420 21708471 28944628 36180785 43416942 65125413 72361570 86833884 108542355 130250826 144723140 195376239 217084710 260501652 325627065 390752478 434169420 586128717 651254130 781504956 976881195 1172257434 1302508260 1953762390 2344514868 2930643585 3907524780 5861287170 11722574340