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133285103064 = 23322213383639
BaseRepresentation
bin111110000100001101…
…0010100010111011000
3110202000212102202211200
41330020122110113120
54140431441244224
6141121430154200
712425633453211
oct1741032242730
9422025382750
10133285103064
1151586a69743
12219b8ab2960
13c75166c3b9
1466458c8408
1537014725c9
hex1f086945d8

133285103064 has 48 divisors (see below), whose sum is σ = 361001113200. Its totient is φ = 44425829184.

The previous prime is 133285103059. The next prime is 133285103069. The reversal of 133285103064 is 460301582331.

133285103064 is a `hidden beast` number, since 1 + 33 + 28 + 510 + 30 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (133285103059) and next prime (133285103069).

It is a super-2 number, since 2×1332851030642 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133285103069) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1551757 + ... + 1635395.

It is an arithmetic number, because the mean of its divisors is an integer number (7520856525).

Almost surely, 2133285103064 is an apocalyptic number.

It is an amenable number.

133285103064 is an abundant number, since it is smaller than the sum of its proper divisors (227716010136).

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

133285103064 is a wasteful number, since it uses less digits than its factorization.

133285103064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105784 (or 105777 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 133285103064 its reverse (460301582331), we get a palindrome (593586685395).

The spelling of 133285103064 in words is "one hundred thirty-three billion, two hundred eighty-five million, one hundred three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 22133 44266 66399 83639 88532 132798 167278 177064 199197 250917 265596 334556 398394 501834 531192 669112 752751 796788 1003668 1505502 1593576 2007336 3011004 6022008 1851181987 3702363974 5553545961 7404727948 11107091922 14809455896 16660637883 22214183844 33321275766 44428367688 66642551532 133285103064