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136422773760 = 21035721373191
BaseRepresentation
bin111111100001101101…
…1100101010000000000
3111001010112111221212110
41333003123211100000
54213343212230020
6142401033255320
712566453305200
oct1770333452000
9431115457773
10136422773760
1152947110119
1222533864540
13cb31726990
1468624ca400
153836b5c8e0
hex1fc36e5400

136422773760 has 1056 divisors, whose sum is σ = 557012477952. Its totient is φ = 28240773120.

The previous prime is 136422773759. The next prime is 136422773771. The reversal of 136422773760 is 67377224631.

It is a happy number.

It is a super-2 number, since 2×1364227737602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 714255265 + ... + 714255455.

Almost surely, 2136422773760 is an apocalyptic number.

136422773760 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 136422773760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278506238976).

136422773760 is an abundant number, since it is smaller than the sum of its proper divisors (420589704192).

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

136422773760 is a wasteful number, since it uses less digits than its factorization.

136422773760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 48.

The spelling of 136422773760 in words is "one hundred thirty-six billion, four hundred twenty-two million, seven hundred seventy-three thousand, seven hundred sixty".