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3135731016 = 23311113257409
BaseRepresentation
bin1011101011100111…
…0111010101001000
322002112102122021210
42322321313111020
522410221343031
61235053333120
7140464162635
oct27271672510
98075378253
103135731016
11136a047140
127361971a0
133ac858752
1421a65918c
15135455746
hexbae77548

3135731016 has 128 divisors (see below), whose sum is σ = 8682422400. Its totient is φ = 935854080.

The previous prime is 3135730993. The next prime is 3135731017. The reversal of 3135731016 is 6101375313.

It is not an unprimeable number, because it can be changed into a prime (3135731017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7666620 + ... + 7667028.

It is an arithmetic number, because the mean of its divisors is an integer number (67831425).

Almost surely, 23135731016 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 3135731016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341211200).

3135731016 is an abundant number, since it is smaller than the sum of its proper divisors (5546691384).

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

3135731016 is a wasteful number, since it uses less digits than its factorization.

3135731016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 3135731016 is about 55997.5983056416. The cubic root of 3135731016 is about 1463.6804335487.

The spelling of 3135731016 in words is "three billion, one hundred thirty-five million, seven hundred thirty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 113 132 226 257 264 339 409 452 514 678 771 818 904 1028 1227 1243 1356 1542 1636 2056 2454 2486 2712 2827 3084 3272 3729 4499 4908 4972 5654 6168 7458 8481 8998 9816 9944 11308 13497 14916 16962 17996 22616 26994 29041 29832 33924 35992 46217 53988 58082 67848 87123 92434 105113 107976 116164 138651 174246 184868 210226 232328 277302 315339 319451 348492 369736 420452 508387 554604 630678 638902 696984 840904 958353 1016774 1109208 1156243 1261356 1277804 1525161 1916706 2033548 2312486 2522712 2555608 3050322 3468729 3833412 4067096 4624972 6100644 6937458 7666824 9249944 11877769 12201288 13874916 23755538 27749832 35633307 47511076 71266614 95022152 130655459 142533228 261310918 285066456 391966377 522621836 783932754 1045243672 1567865508 3135731016