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133069464 = 2332111937239
BaseRepresentation
bin1111110111001…
…11101010011000
3100021101121222200
413323213222120
5233031210324
621112050200
73204033423
oct773475230
9307347880
10133069464
1169129070
1238693960
1321751938
141395c9ba
15ba37ec9
hex7ee7a98

133069464 has 192 divisors, whose sum is σ = 426816000. Its totient is φ = 37013760.

The previous prime is 133069439. The next prime is 133069499. The reversal of 133069464 is 464960331.

133069464 is a `hidden beast` number, since 133 + 0 + 69 + 464 = 666.

133069464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 556657 + ... + 556895.

It is an arithmetic number, because the mean of its divisors is an integer number (2223000).

Almost surely, 2133069464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133069464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213408000).

133069464 is an abundant number, since it is smaller than the sum of its proper divisors (293746536).

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

133069464 is a wasteful number, since it uses less digits than its factorization.

133069464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 133069464 is about 11535.5738478846. The cubic root of 133069464 is about 510.5357231032.

The spelling of 133069464 in words is "one hundred thirty-three million, sixty-nine thousand, four hundred sixty-four".