Search a number
-
+
1331266630104 = 233237743672577
BaseRepresentation
bin10011010111110101101…
…011001011000111011000
311201021020021000211110100
4103113311223023013120
5133302413224130404
62455324144015400
7165116012435355
oct23276553130730
94637207024410
101331266630104
11473650341164
12196012601560
13986cba126b8
144860dd0962c
1524968d4bd39
hex135f5acb1d8

1331266630104 has 96 divisors (see below), whose sum is σ = 3707949417120. Its totient is φ = 431180402688.

The previous prime is 1331266630103. The next prime is 1331266630181. The reversal of 1331266630104 is 4010366621331.

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 (1331266630103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1643064 + ... + 2315640.

It is an arithmetic number, because the mean of its divisors is an integer number (38624473095).

Almost surely, 21331266630104 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 1331266630104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853974708560).

1331266630104 is an abundant number, since it is smaller than the sum of its proper divisors (2376682787016).

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

1331266630104 is a wasteful number, since it uses less digits than its factorization.

1331266630104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673369 (or 673362 counting only the distinct ones).

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

The spelling of 1331266630104 in words is "one trillion, three hundred thirty-one billion, two hundred sixty-six million, six hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 743 888 1332 1486 2229 2664 2972 4458 5944 6687 8916 13374 17832 26748 27491 53496 54982 82473 109964 164946 219928 247419 329892 494838 659784 672577 989676 1345154 1979352 2017731 2690308 4035462 5380616 6053193 8070924 12106386 16141848 24212772 24885349 48425544 49770698 74656047 99541396 149312094 199082792 223968141 298624188 447936282 499724711 597248376 895872564 999449422 1499174133 1791745128 1998898844 2998348266 3997797688 4497522399 5996696532 8995044798 11993393064 17990089596 18489814307 35980179192 36979628614 55469442921 73959257228 110938885842 147918514456 166408328763 221877771684 332816657526 443755543368 665633315052 1331266630104