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133832891648 = 2823130117471
BaseRepresentation
bin111110010100100001…
…1111101110100000000
3110210110001012022111202
41330221003331310000
54143042210013043
6141252035200332
712445334544401
oct1745103756400
9423401168452
10133832891648
11518381a6385
1221b304460a8
13c80acb7161
14669855d9a8
1537345ca1b8
hex1f290fdd00

133832891648 has 72 divisors (see below), whose sum is σ = 278988143616. Its totient is φ = 63954176000.

The previous prime is 133832891641. The next prime is 133832891681. The reversal of 133832891648 is 846198238331.

It is a super-2 number, since 2×1338328916482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133832891593 and 133832891602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133832891641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7651553 + ... + 7669023.

It is an arithmetic number, because the mean of its divisors is an integer number (3874835328).

Almost surely, 2133832891648 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 133832891648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139494071808).

133832891648 is an abundant number, since it is smaller than the sum of its proper divisors (145155251968).

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

133832891648 is a wasteful number, since it uses less digits than its factorization.

133832891648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18811 (or 18797 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 56.

The spelling of 133832891648 in words is "one hundred thirty-three billion, eight hundred thirty-two million, eight hundred ninety-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1301 1472 2602 2944 5204 5888 10408 17471 20816 29923 34942 41632 59846 69884 83264 119692 139768 166528 239384 279536 333056 401833 478768 559072 803666 957536 1118144 1607332 1915072 2236288 3214664 3830144 4472576 6429328 7660288 12858656 22729771 25717312 45459542 51434624 90919084 102869248 181838168 363676336 522784733 727352672 1045569466 1454705344 2091138932 2909410688 4182277864 5818821376 8364555728 16729111456 33458222912 66916445824 133832891648