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41681237112 = 23323738571811
BaseRepresentation
bin100110110100011001…
…010011010001111000
310222120211121020020200
4212310121103101320
51140330344041422
631051553322200
73003620445504
oct466431232170
9128524536220
1041681237112
1116749a763a9
1280b2b66360
133c1348c818
1420359ab304
15113e3d12ac
hex9b4653478

41681237112 has 96 divisors (see below), whose sum is σ = 113383979280. Its totient is φ = 13832686080.

The previous prime is 41681237111. The next prime is 41681237119. The reversal of 41681237112 is 21173218614.

41681237112 is a `hidden beast` number, since 416 + 8 + 1 + 237 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×416812371122 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41681237111) 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 23 ways as a sum of consecutive naturals, for example, 23014687 + ... + 23016497.

Almost surely, 241681237112 is an apocalyptic number.

It is an amenable number.

41681237112 is an abundant number, since it is smaller than the sum of its proper divisors (71702742168).

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

41681237112 is a wasteful number, since it uses less digits than its factorization.

41681237112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3046 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The spelling of 41681237112 in words is "forty-one billion, six hundred eighty-one million, two hundred thirty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 373 746 857 1119 1492 1714 1811 2238 2571 2984 3357 3428 3622 4476 5142 5433 6714 6856 7244 7713 8952 10284 10866 13428 14488 15426 16299 20568 21732 26856 30852 32598 43464 61704 65196 130392 319661 639322 675503 958983 1278644 1351006 1552027 1917966 2026509 2557288 2702012 2876949 3104054 3835932 4053018 4656081 5404024 5753898 6079527 6208108 7671864 8106036 9312162 11507796 12159054 12416216 13968243 16212072 18624324 23015592 24318108 27936486 37248648 48636216 55872972 111745944 578906071 1157812142 1736718213 2315624284 3473436426 4631248568 5210154639 6946872852 10420309278 13893745704 20840618556 41681237112