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136554413056 = 210296768633
BaseRepresentation
bin111111100101101000…
…1101111110000000000
3111001110201012221000221
41333023101233300000
54214130412204211
6142422054552424
712602642234215
oct1771321576000
9431421187027
10136554413056
1152a04451726
122256b968714
13cb52a97659
146875b95b0c
1538434b1c71
hex1fcb46fc00

136554413056 has 88 divisors (see below), whose sum is σ = 286607347920. Its totient is φ = 64937951232.

The previous prime is 136554413053. The next prime is 136554413069. The reversal of 136554413056 is 650314455631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136554413053) 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 7 ways as a sum of consecutive naturals, for example, 1955316 + ... + 2023948.

Almost surely, 2136554413056 is an apocalyptic number.

136554413056 is a gapful number since it is divisible by the number (16) 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 136554413056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143303673960).

136554413056 is an abundant number, since it is smaller than the sum of its proper divisors (150052934864).

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

136554413056 is an equidigital number, since it uses as much as digits as its factorization.

136554413056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68749 (or 68731 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

Adding to 136554413056 its reverse (650314455631), we get a palindrome (786868868687).

The spelling of 136554413056 in words is "one hundred thirty-six billion, five hundred fifty-four million, four hundred thirteen thousand, fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 67 116 128 134 232 256 268 464 512 536 928 1024 1072 1856 1943 2144 3712 3886 4288 7424 7772 8576 14848 15544 17152 29696 31088 34304 62176 68608 68633 124352 137266 248704 274532 497408 549064 994816 1098128 1989632 1990357 2196256 3980714 4392512 4598411 7961428 8785024 9196822 15922856 17570048 18393644 31845712 35140096 36787288 63691424 70280192 73574576 127382848 133353919 147149152 254765696 266707838 294298304 509531392 533415676 588596608 1019062784 1066831352 1177193216 2038125568 2133662704 2354386432 4267325408 4708772864 8534650816 17069301632 34138603264 68277206528 136554413056