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41682116988 = 223223211231949
BaseRepresentation
bin100110110100011100…
…101010000101111100
310222120220020221012200
4212310130222011330
51140331110220423
631052024231500
73003631101651
oct466434520574
9128526227180
1041682116988
111674a517476
1280b330b590
133c1370a165
142035b59c28
15113e506d43
hex9b472a17c

41682116988 has 108 divisors (see below), whose sum is σ = 110297951400. Its totient is φ = 13271303232.

The previous prime is 41682116953. The next prime is 41682117073. The reversal of 41682116988 is 88961128614.

It is a happy number.

41682116988 is a `hidden beast` number, since 416 + 8 + 211 + 6 + 9 + 8 + 8 = 666.

41682116988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21385438 + ... + 21387386.

Almost surely, 241682116988 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 41682116988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55148975700).

41682116988 is an abundant number, since it is smaller than the sum of its proper divisors (68615834412).

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

41682116988 is a wasteful number, since it uses less digits than its factorization.

41682116988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 3100 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 41682116988 in words is "forty-one billion, six hundred eighty-two million, one hundred sixteen thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1123 1587 1949 2116 2246 3174 3369 3898 4492 4761 5847 6348 6738 7796 9522 10107 11694 13476 17541 19044 20214 23388 25829 35082 40428 44827 51658 70164 77487 89654 103316 134481 154974 179308 232461 268962 309948 403443 464922 537924 594067 806886 929844 1031021 1188134 1613772 1782201 2062042 2188727 2376268 3093063 3564402 4124084 4377454 5346603 6186126 6566181 7128804 8754908 9279189 10693206 12372252 13132362 18558378 19698543 21386412 26264724 37116756 39397086 50340721 78794172 100681442 151022163 201362884 302044326 453066489 604088652 906132978 1157836583 1812265956 2315673166 3473509749 4631346332 6947019498 10420529247 13894038996 20841058494 41682116988