Search a number
-
+
2135731656 = 233412239733
BaseRepresentation
bin111111101001100…
…1010110111001000
312111211202102001110
41333103022313020
513333221403111
6551532050320
7103632263622
oct17723126710
95454672043
102135731656
119a6623893
124b73039a0
1328061b956
1416390bc12
15c77745a6
hex7f4cadc8

2135731656 has 64 divisors (see below), whose sum is σ = 5494648320. Its totient is φ = 691361280.

The previous prime is 2135731643. The next prime is 2135731667. The reversal of 2135731656 is 6561375312.

It is a super-2 number, since 2×21357316562 = 9122699412881004672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214566 + ... + 224298.

It is an arithmetic number, because the mean of its divisors is an integer number (85853880).

Almost surely, 22135731656 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 2135731656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747324160).

2135731656 is an abundant number, since it is smaller than the sum of its proper divisors (3358916664).

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

2135731656 is a wasteful number, since it uses less digits than its factorization.

2135731656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10006 (or 10002 counting only the distinct ones).

The product of its digits is 113400, while the sum is 39.

The square root of 2135731656 is about 46213.9768468371. The cubic root of 2135731656 is about 1287.8014061181.

The spelling of 2135731656 in words is "two billion, one hundred thirty-five million, seven hundred thirty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 223 246 328 446 492 669 892 984 1338 1784 2676 5352 9143 9733 18286 19466 27429 29199 36572 38932 54858 58398 73144 77864 109716 116796 219432 233592 399053 798106 1197159 1596212 2170459 2394318 3192424 4340918 4788636 6511377 8681836 9577272 13022754 17363672 26045508 52091016 88988819 177977638 266966457 355955276 533932914 711910552 1067865828 2135731656