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133502686674 = 237223613171021
BaseRepresentation
bin111110001010101100…
…0010101010111010010
3110202121000212011102220
41330111120111113102
54141403141433144
6141155201521510
712434215053600
oct1742530252722
9422530764386
10133502686674
1151688871505
1221a59943296
13c787771cb6
146666766870
153715601919
hex1f156155d2

133502686674 has 192 divisors, whose sum is σ = 330778328832. Its totient is φ = 35738841600.

The previous prime is 133502686673. The next prime is 133502686693. The reversal of 133502686674 is 476686205331.

133502686674 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (133502686673) 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 95 ways as a sum of consecutive naturals, for example, 130756284 + ... + 130757304.

It is an arithmetic number, because the mean of its divisors is an integer number (1722803796).

Almost surely, 2133502686674 is an apocalyptic number.

133502686674 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133502686674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165389164416).

133502686674 is an abundant number, since it is smaller than the sum of its proper divisors (197275642158).

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

133502686674 is a wasteful number, since it uses less digits than its factorization.

133502686674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 133502686674 in words is "one hundred thirty-three billion, five hundred two million, six hundred eighty-six thousand, six hundred seventy-four".