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133032524032 = 282331172649
BaseRepresentation
bin111101111100101011…
…0110011100100000000
3110201101021011102112201
41323321112303210000
54134422311232112
6141040404402544
712416445540202
oct1737126634400
9421337142481
10133032524032
1151467434341
12219483a6454
13c711235b55
14662013a772
1536d91ce257
hex1ef95b3900

133032524032 has 72 divisors (see below), whose sum is σ = 277985635200. Its totient is φ = 63418798080.

The previous prime is 133032524017. The next prime is 133032524077. The reversal of 133032524032 is 230425230331.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1794844 + ... + 1867492.

It is an arithmetic number, because the mean of its divisors is an integer number (3860911600).

Almost surely, 2133032524032 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 133032524032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138992817600).

133032524032 is an abundant number, since it is smaller than the sum of its proper divisors (144953111168).

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

133032524032 is an equidigital number, since it uses as much as digits as its factorization.

133032524032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72999 (or 72985 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

Adding to 133032524032 its reverse (230425230331), we get a palindrome (363457754363).

The spelling of 133032524032 in words is "one hundred thirty-three billion, thirty-two million, five hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 311 368 622 736 1244 1472 2488 2944 4976 5888 7153 9952 14306 19904 28612 39808 57224 72649 79616 114448 145298 228896 290596 457792 581192 915584 1162384 1670927 1831168 2324768 3341854 4649536 6683708 9299072 13367416 18598144 22593839 26734832 45187678 53469664 90375356 106939328 180750712 213878656 361501424 427757312 519658297 723002848 1039316594 1446005696 2078633188 2892011392 4157266376 5784022784 8314532752 16629065504 33258131008 66516262016 133032524032