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41045629050 = 232523113732143
BaseRepresentation
bin100110001110100000…
…101001100001111010
310220221112120222220100
4212032200221201322
51133030140112200
630504530140230
72652102042666
oct461640514172
9126845528810
1041045629050
1116453207688
127b56121676
133b418a748a
141db53d58a6
1511036ccd00
hex98e82987a

41045629050 has 144 divisors (see below), whose sum is σ = 113969276928. Its totient is φ = 10579766400.

The previous prime is 41045629049. The next prime is 41045629159. The reversal of 41045629050 is 5092654014.

41045629050 is a `hidden beast` number, since 4 + 1 + 0 + 4 + 562 + 90 + 5 + 0 = 666.

It is a super-2 number, since 2×410456290502 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 41045628996 and 41045629014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19152279 + ... + 19154421.

It is an arithmetic number, because the mean of its divisors is an integer number (791453312).

Almost surely, 241045629050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41045629050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56984638464).

41045629050 is an abundant number, since it is smaller than the sum of its proper divisors (72923647878).

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

41045629050 is a wasteful number, since it uses less digits than its factorization.

41045629050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 41045629050 in words is "forty-one billion, forty-five million, six hundred twenty-nine thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 558 775 930 1373 1395 1550 2143 2325 2746 2790 4119 4286 4650 6429 6865 6975 8238 10715 12357 12858 13730 13950 19287 20595 21430 24714 32145 34325 38574 41190 42563 53575 61785 64290 66433 68650 85126 96435 102975 107150 123570 127689 132866 160725 192870 199299 205950 212815 255378 308925 321450 332165 383067 398598 425630 482175 597897 617850 638445 664330 766134 964350 996495 1064075 1195794 1276890 1660825 1915335 1992990 2128150 2942339 2989485 3192225 3321650 3830670 4982475 5884678 5978970 6384450 8827017 9576675 9964950 14711695 14947425 17654034 19153350 26481051 29423390 29894850 44135085 52962102 73558475 88270170 91212509 132405255 147116950 182425018 220675425 264810510 273637527 441350850 456062545 547275054 662026275 820912581 912125090 1324052550 1368187635 1641825162 2280312725 2736375270 4104562905 4560625450 6840938175 8209125810 13681876350 20522814525 41045629050