Search a number
-
+
6142634932 = 2272373193677
BaseRepresentation
bin1011011100010000…
…10010101110110100
3120212002110012000111
411232020102232310
5100040003304212
62453305552404
7305135351440
oct55610225664
916762405014
106142634932
1126723a25a5
1212351a5704
1376b7b9535
14423b3b820
1525e40eea7
hex16e212bb4

6142634932 has 96 divisors (see below), whose sum is σ = 13081646592. Its totient is φ = 2467086336.

The previous prime is 6142634923. The next prime is 6142634959. The reversal of 6142634932 is 2394362416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9072978 + ... + 9073654.

It is an arithmetic number, because the mean of its divisors is an integer number (136267152).

Almost surely, 26142634932 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 6142634932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540823296).

6142634932 is an abundant number, since it is smaller than the sum of its proper divisors (6939011660).

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

6142634932 is a wasteful number, since it uses less digits than its factorization.

6142634932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 975 counting only the distinct ones).

The product of its digits is 186624, while the sum is 40.

The square root of 6142634932 is about 78374.9636810123. The cubic root of 6142634932 is about 1831.4071345677.

The spelling of 6142634932 in words is "six billion, one hundred forty-two million, six hundred thirty-four thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 73 92 146 161 193 292 322 386 511 644 677 772 1022 1351 1354 1679 2044 2702 2708 3358 4439 4739 5404 6716 8878 9478 11753 14089 15571 17756 18956 23506 28178 31073 31142 47012 49421 56356 62146 62284 98623 98842 108997 124292 130661 197246 197684 217994 261322 324047 345947 394492 435988 522644 648094 691894 914627 1136683 1296188 1383788 1829254 2268329 2273366 3005203 3658508 4536658 4546732 6010406 7956781 9073316 9538253 12020812 15913562 19076506 21036421 31827124 38153012 42072842 66767771 84145684 133535542 219379819 267071084 438759638 877519276 1535658733 3071317466 6142634932