Search a number
-
+
32831538096 = 24376112712613
BaseRepresentation
bin11110100100111010…
…011000001110110000
310010202002022221102110
4132210322120032300
51014214333204341
623025501445320
72241411316650
oct364472301660
9103662287373
1032831538096
1112a18602565
126443270840
133132bb5426
14183651c360
15cc24e3216
hex7a4e983b0

32831538096 has 160 divisors (see below), whose sum is σ = 99303866368. Its totient is φ = 9153285120.

The previous prime is 32831538067. The next prime is 32831538097. The reversal of 32831538096 is 69083513823.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (32831538097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2596686 + ... + 2609298.

Almost surely, 232831538096 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 32831538096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49651933184).

32831538096 is an abundant number, since it is smaller than the sum of its proper divisors (66472328272).

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

32831538096 is a wasteful number, since it uses less digits than its factorization.

32831538096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12819 (or 12813 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 32831538096 in words is "thirty-two billion, eight hundred thirty-one million, five hundred thirty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 127 168 183 244 254 336 366 381 427 488 508 732 762 854 889 976 1016 1281 1464 1524 1708 1778 2032 2562 2667 2928 3048 3416 3556 5124 5334 6096 6832 7112 7747 10248 10668 12613 14224 15494 20496 21336 23241 25226 30988 37839 42672 46482 50452 54229 61976 75678 88291 92964 100904 108458 123952 151356 162687 176582 185928 201808 216916 264873 302712 325374 353164 371856 433832 529746 605424 650748 706328 769393 867664 1059492 1301496 1412656 1538786 1601851 2118984 2308179 2602992 3077572 3203702 4237968 4616358 4805553 5385751 6155144 6407404 9232716 9611106 10771502 11212957 12310288 12814808 16157253 18465432 19222212 21543004 22425914 25629616 32314506 33638871 36930864 38444424 43086008 44851828 64629012 67277742 76888848 86172016 89703656 97712911 129258024 134555484 179407312 195425822 258516048 269110968 293138733 390851644 538221936 586277466 683990377 781703288 1172554932 1367980754 1563406576 2051971131 2345109864 2735961508 4103942262 4690219728 5471923016 8207884524 10943846032 16415769048 32831538096