Search a number
-
+
42084159684 = 223743103311279
BaseRepresentation
bin100111001100011010…
…010101000011000100
311000121220202211002220
4213030122111003010
51142142021102214
631155545332340
73016612312050
oct471432250304
9130556684086
1042084159684
1116936458066
1281a5a970b0
133c78ab5448
1420732d2c60
1511649709a9
hex9cc6950c4

42084159684 has 96 divisors (see below), whose sum is σ = 114955653120. Its totient is φ = 11732007168.

The previous prime is 42084159673. The next prime is 42084159701. The reversal of 42084159684 is 48695148024.

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, 3725557 + ... + 3736835.

It is an arithmetic number, because the mean of its divisors is an integer number (1197454720).

Almost surely, 242084159684 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 42084159684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57477826560).

42084159684 is an abundant number, since it is smaller than the sum of its proper divisors (72871493436).

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

42084159684 is a wasteful number, since it uses less digits than its factorization.

42084159684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12369 (or 12367 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 42084159684 in words is "forty-two billion, eighty-four million, one hundred fifty-nine thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1033 1204 1806 2066 3099 3612 4132 6198 7231 11279 12396 14462 21693 22558 28924 33837 43386 44419 45116 67674 78953 86772 88838 133257 135348 157906 177676 236859 266514 310933 315812 473718 484997 533028 621866 932799 947436 969994 1243732 1454991 1865598 1939988 2909982 3394979 3731196 5819964 6789958 10184937 11651207 13579916 20369874 23302414 34953621 40739748 46604828 69907242 81558449 139814484 163116898 244675347 326233796 489350694 501001901 978701388 1002003802 1503005703 2004007604 3006011406 3507013307 6012022812 7014026614 10521039921 14028053228 21042079842 42084159684