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133166605248 = 26321512416353
BaseRepresentation
bin111110000000101011…
…0010010001111000000
3110201201121110110101200
41330001112102033000
54140211122331443
6141101554301200
712422664316425
oct1740126221700
9421647413350
10133166605248
1151526093566
1221985287800
13c732c50151
146633c7dd4c
1536e5d66dd3
hex1f015923c0

133166605248 has 168 divisors, whose sum is σ = 385880859936. Its totient is φ = 43905024000.

The previous prime is 133166605241. The next prime is 133166605301. The reversal of 133166605248 is 842506661331.

It is a super-2 number, since 2×1331666052482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133166605241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20958040 + ... + 20964392.

Almost surely, 2133166605248 is an apocalyptic number.

133166605248 is a gapful number since it is divisible by the number (18) 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 133166605248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192940429968).

133166605248 is an abundant number, since it is smaller than the sum of its proper divisors (252714254688).

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

133166605248 is a wasteful number, since it uses less digits than its factorization.

133166605248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6763 (or 6750 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 133166605248 in words is "one hundred thirty-three billion, one hundred sixty-six million, six hundred five thousand, two hundred forty-eight".