Search a number
-
+
31923435016032 = 2537248891908679
BaseRepresentation
bin1110100001000110000010…
…00000010000111101100000
311012000211222002000102121020
413100203001000100331200
513141013143331003112
6151521231254525440
76503251323306540
oct720430100207540
9135024862012536
1031923435016032
11a19871a90818a
1236b6b85966880
1314a74a0404781
147c5161385320
153a560615a48c
hex1d08c1010f60

31923435016032 has 96 divisors (see below), whose sum is σ = 95774203123200. Its totient is φ = 9120610188288.

The previous prime is 31923435015961. The next prime is 31923435016069. The reversal of 31923435016032 is 23061053432913.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 15771069 + ... + 17679747.

It is an arithmetic number, because the mean of its divisors is an integer number (997647949200).

Almost surely, 231923435016032 is an apocalyptic number.

31923435016032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31923435016032 is an abundant number, since it is smaller than the sum of its proper divisors (63850768107168).

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

31923435016032 is a wasteful number, since it uses less digits than its factorization.

31923435016032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933588 (or 1933580 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

Adding to 31923435016032 its reverse (23061053432913), we get a palindrome (54984488448945).

The spelling of 31923435016032 in words is "thirty-one trillion, nine hundred twenty-three billion, four hundred thirty-five million, sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 24889 49778 74667 99556 149334 174223 199112 298668 348446 398224 522669 597336 696892 796448 1045338 1194672 1393784 1908679 2090676 2389344 2787568 3817358 4181352 5575136 5726037 7634716 8362704 11452074 13360753 15269432 16725408 22904148 26721506 30538864 40082259 45808296 53443012 61077728 80164518 91616592 106886024 160329036 183233184 213772048 320658072 427544096 641316144 1282632288 47505111631 95010223262 142515334893 190020446524 285030669786 332535781417 380040893048 570061339572 665071562834 760081786096 997607344251 1140122679144 1330143125668 1520163572192 1995214688502 2280245358288 2660286251336 3990429377004 4560490716576 5320572502672 7980858754008 10641145005344 15961717508016 31923435016032