Search a number
-
+
8194152132 = 2234235320747
BaseRepresentation
bin1111010000110100…
…01101011011000100
3210011001202001120000
413220122031123010
5113240200332012
63433033041300
7410026100235
oct75032153304
923131661500
108194152132
113525426861
121708256230
13a0783073a
1457a3a708c
1532e59bddc
hex1e868d6c4

8194152132 has 120 divisors (see below), whose sum is σ = 22775328576. Its totient is φ = 2563209792.

The previous prime is 8194152089. The next prime is 8194152137. The reversal of 8194152132 is 2312514918.

It is a super-3 number, since 3×81941521323 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8194152137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 384583 + ... + 405329.

Almost surely, 28194152132 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 8194152132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11387664288).

8194152132 is an abundant number, since it is smaller than the sum of its proper divisors (14581176444).

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

8194152132 is a wasteful number, since it uses less digits than its factorization.

8194152132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20839 (or 20828 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 8194152132 is about 90521.5561731017. The cubic root of 8194152132 is about 2016.0501953914.

The spelling of 8194152132 in words is "eight billion, one hundred ninety-four million, one hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 53 54 69 81 92 106 108 138 159 162 207 212 276 318 324 414 477 621 636 828 954 1219 1242 1431 1863 1908 2438 2484 2862 3657 3726 4293 4876 5724 7314 7452 8586 10971 14628 17172 20747 21942 32913 41494 43884 62241 65826 82988 98739 124482 131652 186723 197478 248964 373446 394956 477181 560169 746892 954362 1099591 1120338 1431543 1680507 1908724 2199182 2240676 2863086 3298773 3361014 4294629 4398364 5726172 6597546 6722028 8589258 9896319 12883887 13195092 17178516 19792638 25290593 25767774 29688957 38651661 39585276 50581186 51535548 59377914 75871779 77303322 89066871 101162372 118755828 151743558 154606644 178133742 227615337 303487116 356267484 455230674 682846011 910461348 1365692022 2048538033 2731384044 4097076066 8194152132