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149383172736 = 2732773253763
BaseRepresentation
bin1000101100011111101…
…1100101001010000000
3112021120202210102221100
42023013323211022000
54421414043011421
6152343051454400
713535566006020
oct2130773451200
9467522712840
10149383172736
11583979a7756
1224b50157400
1311118841605
1473318a7a80
153d4488ac26
hex22c7ee5280

149383172736 has 192 divisors, whose sum is σ = 498006774720. Its totient is φ = 42096070656.

The previous prime is 149383172717. The next prime is 149383172759. The reversal of 149383172736 is 637271383941.

149383172736 is a `hidden beast` number, since 1 + 493 + 83 + 1 + 7 + 2 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1493831727362 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 461791 + ... + 715553.

It is an arithmetic number, because the mean of its divisors is an integer number (2593785285).

Almost surely, 2149383172736 is an apocalyptic number.

149383172736 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 149383172736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249003387360).

149383172736 is an abundant number, since it is smaller than the sum of its proper divisors (348623601984).

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

149383172736 is a wasteful number, since it uses less digits than its factorization.

149383172736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253863 (or 253848 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 149383172736 in words is "one hundred forty-nine billion, three hundred eighty-three million, one hundred seventy-two thousand, seven hundred thirty-six".