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149205767720 = 2353730144193
BaseRepresentation
bin1000101011110101011…
…0110101011000101000
3112021010101222100000012
42022331112311120220
54421033134031340
6152313313231052
713531313046152
oct2127526653050
9467111870005
10149205767720
1158306847739
1224b00862488
13110bab68929
1473160c7ad2
153d33ee6565
hex22bd5b5628

149205767720 has 16 divisors (see below), whose sum is σ = 335712977460. Its totient is φ = 59682307072.

The previous prime is 149205767713. The next prime is 149205767723. The reversal of 149205767720 is 27767502941.

149205767720 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 2 ways, for example, as 138713043364 + 10492724356 = 372442^2 + 102434^2 .

It is a super-2 number, since 2×1492057677202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (149205767723) 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 3 ways as a sum of consecutive naturals, for example, 1865072057 + ... + 1865072136.

Almost surely, 2149205767720 is an apocalyptic number.

149205767720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149205767720 is an abundant number, since it is smaller than the sum of its proper divisors (186507209740).

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

149205767720 is a wasteful number, since it uses less digits than its factorization.

149205767720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730144204 (or 3730144200 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 50.

The spelling of 149205767720 in words is "one hundred forty-nine billion, two hundred five million, seven hundred sixty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3730144193 7460288386 14920576772 18650720965 29841153544 37301441930 74602883860 149205767720