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136911840256 = 2103123732
BaseRepresentation
bin111111110000010010…
…1001110010000000000
3111002101121210002222101
41333200211032100000
54220343412342011
6142521343520144
712614542304062
oct1774045162000
9432347702871
10136911840256
115307818a004
122264b5b9054
13cbabb51339
1468ab437732
153864a662c1
hex1fe094e400

136911840256 has 99 divisors (see below), whose sum is σ = 283563702513. Its totient is φ = 66070056960.

The previous prime is 136911840229. The next prime is 136911840277. The reversal of 136911840256 is 652048119631.

The square root of 136911840256 is 370016.

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

It can be written as a sum of positive squares in only one way, i.e., 74419840000 + 62492000256 = 272800^2 + 249984^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 367055686 + ... + 367056058.

Almost surely, 2136911840256 is an apocalyptic number.

136911840256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

136911840256 is the 370016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136911840256

136911840256 is an abundant number, since it is smaller than the sum of its proper divisors (146651862257).

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

136911840256 is an frugal number, since it uses more digits than its factorization.

136911840256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

Adding to 136911840256 its reverse (652048119631), we get a palindrome (788959959887).

The spelling of 136911840256 in words is "one hundred thirty-six billion, nine hundred eleven million, eight hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 373 496 512 746 961 992 1024 1492 1922 1984 2984 3844 3968 5968 7688 7936 11563 11936 15376 15872 23126 23872 30752 31744 46252 47744 61504 92504 95488 123008 139129 185008 190976 246016 278258 358453 370016 381952 492032 556516 716906 740032 984064 1113032 1433812 1480064 2226064 2867624 2960128 4312999 4452128 5735248 5920256 8625998 8904256 11470496 11840512 17251996 17808512 22940992 34503992 35617024 45881984 69007984 71234048 91763968 133702969 138015968 142468096 183527936 267405938 276031936 367055872 534811876 552063872 1069623752 1104127744 2139247504 2208255488 4278495008 4416510976 8556990016 17113980032 34227960064 68455920128 136911840256