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126645941808 = 243223138127689
BaseRepresentation
bin111010111110010101…
…1111011011000110000
3110002220011200102202100
41311330223323120300
54033332330114213
6134102542020400
712102255513021
oct1657453733060
9402804612670
10126645941808
114978a372611
1220665577700
13bc34045c09
1461b5c5ac48
153463683773
hex1d7cafb630

126645941808 has 120 divisors (see below), whose sum is σ = 370124033760. Its totient is φ = 40349168640.

The previous prime is 126645941801. The next prime is 126645941809. The reversal of 126645941808 is 808149546621.

126645941808 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 459 + 4 + 180 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (126645941801) 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, 4560028 + ... + 4587716.

It is an arithmetic number, because the mean of its divisors is an integer number (3084366948).

Almost surely, 2126645941808 is an apocalyptic number.

126645941808 is a gapful number since it is divisible by the number (18) 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 126645941808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185062016880).

126645941808 is an abundant number, since it is smaller than the sum of its proper divisors (243478091952).

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

126645941808 is a wasteful number, since it uses less digits than its factorization.

126645941808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29107 (or 29098 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 126645941808 in words is "one hundred twenty-six billion, six hundred forty-five million, nine hundred forty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1381 1656 2762 3312 4143 5524 8286 11048 12429 16572 22096 24858 27689 31763 33144 49716 55378 63526 66288 83067 95289 99432 110756 127052 166134 190578 198864 221512 249201 254104 285867 332268 381156 443024 498402 508208 571734 636847 664536 762312 996804 1143468 1273694 1329072 1524624 1910541 1993608 2286936 2547388 3821082 3987216 4573872 5094776 5731623 7642164 10189552 11463246 15284328 22926492 30568656 38238509 45852984 76477018 91705968 114715527 152954036 229431054 305908072 344146581 458862108 611816144 688293162 879485707 917724216 1376586324 1758971414 1835448432 2638457121 2753172648 3517942828 5276914242 5506345296 7035885656 7915371363 10553828484 14071771312 15830742726 21107656968 31661485452 42215313936 63322970904 126645941808