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194908122256 = 241923721572
BaseRepresentation
bin1011010110000101101…
…1011110110010010000
3200122002111000111100211
42311201123132302100
511143132434403011
6225312313253504
720040001463251
oct2654133366220
9618074014324
10194908122256
1175729610081
1231936404294
13154c2431a73
14960db44b28
15510b41eb21
hex2d616dec90

194908122256 has 135 divisors (see below), whose sum is σ = 412244636139. Its totient is φ = 89257469184.

The previous prime is 194908122251. The next prime is 194908122307. The reversal of 194908122256 is 652221809491.

The square root of 194908122256 is 441484.

It is a perfect power (a square), and thus also a powerful number.

194908122256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11175872656 + 183732249600 = 105716^2 + 428640^2 .

It is a super-2 number, since 2×1949081222562 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (194908122251) 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 26 ways as a sum of consecutive naturals, for example, 1241452930 + ... + 1241453086.

Almost surely, 2194908122256 is an apocalyptic number.

194908122256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

194908122256 is the 441484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194908122256

194908122256 is an abundant number, since it is smaller than the sum of its proper divisors (217336513883).

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

194908122256 is an equidigital number, since it uses as much as digits as its factorization.

194908122256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

Multiplying 194908122256 by its sum of digits (49), we get a square (9550497990544 = 30903882).

The spelling of 194908122256 in words is "one hundred ninety-four billion, nine hundred eight million, one hundred twenty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 157 296 304 314 361 592 628 703 722 1256 1369 1406 1444 2512 2738 2812 2888 2983 5476 5624 5776 5809 5966 10952 11248 11618 11932 13357 21904 23236 23864 24649 26011 26714 46472 47728 49298 52022 53428 56677 92944 98596 104044 106856 110371 113354 197192 208088 213712 214933 220742 226708 394384 416176 429866 441484 453416 468331 494209 859732 882968 906832 912013 936662 988418 1719464 1765936 1824026 1873324 1976836 2097049 3438928 3648052 3746648 3953672 4083727 4194098 7296104 7493296 7907344 8167454 8388196 8898289 14592208 16334908 16776392 17328247 17796578 32669816 33552784 33744481 34656494 35593156 65339632 67488962 69312988 71186312 77590813 134977924 138625976 142372624 155181626 269955848 277251952 310363252 329236693 539911696 620726504 641145139 658473386 1241453008 1282290278 1316946772 2564580556 2633893544 5129161112 5267787088 10258322224 12181757641 24363515282 48727030564 97454061128 194908122256