Search a number
-
+
3131736412 = 227283311619
BaseRepresentation
bin1011101010101010…
…1000000101011100
322002020220200201111
42322222220011130
522403211031122
61234431551404
7140415214600
oct27252500534
98066820644
103131736412
111367868a12
1273498b564
133aba8a48c
14219cd9500
15134e16d77
hexbaaa815c

3131736412 has 72 divisors (see below), whose sum is σ = 6483335040. Its totient is φ = 1319603040.

The previous prime is 3131736371. The next prime is 3131736449. The reversal of 3131736412 is 2146371313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5059039 + ... + 5059657.

It is an arithmetic number, because the mean of its divisors is an integer number (90046320).

Almost surely, 23131736412 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 3131736412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241667520).

3131736412 is an abundant number, since it is smaller than the sum of its proper divisors (3351598628).

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

3131736412 is a wasteful number, since it uses less digits than its factorization.

3131736412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1022 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The square root of 3131736412 is about 55961.9193023256. The cubic root of 3131736412 is about 1463.0586425217.

The spelling of 3131736412 in words is "three billion, one hundred thirty-one million, seven hundred thirty-six thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 49 83 98 166 196 311 332 581 619 622 1162 1238 1244 2177 2324 2476 4067 4333 4354 8134 8666 8708 15239 16268 17332 25813 30331 30478 51377 51626 60662 60956 102754 103252 121324 180691 192509 205508 359639 361382 385018 719278 722764 770036 1264837 1347563 1438556 2517473 2529674 2695126 5034946 5059348 5390252 9432941 10069892 15978247 18865882 31956494 37731764 63912988 111847729 223695458 447390916 782934103 1565868206 3131736412