Search a number
-
+
60041811816 = 2334729456439
BaseRepresentation
bin110111111010110001…
…010101011101101000
312201222102021001210000
4313322301111131220
51440431200434231
643325520223000
74223614660020
oct677261253550
9181872231700
1060041811816
1123511045988
12b777a6aa60
13587b3095cc
142c98258a80
1518662616e6
hexdfac55768

60041811816 has 160 divisors (see below), whose sum is σ = 198825264000. Its totient is φ = 16563222144.

The previous prime is 60041811803. The next prime is 60041811853. The reversal of 60041811816 is 61811814006.

60041811816 is a `hidden beast` number, since 60 + 0 + 418 + 1 + 181 + 6 = 666.

It is a super-2 number, since 2×600418118162 (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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 96676 + ... + 359763.

It is an arithmetic number, because the mean of its divisors is an integer number (1242657900).

Almost surely, 260041811816 is an apocalyptic number.

It is an amenable number.

60041811816 is an abundant number, since it is smaller than the sum of its proper divisors (138783452184).

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

60041811816 is a wasteful number, since it uses less digits than its factorization.

60041811816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456493 (or 456480 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 60041811816 in words is "sixty billion, forty-one million, eight hundred eleven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 81 84 87 108 116 126 162 168 174 189 203 216 232 252 261 324 348 378 406 504 522 567 609 648 696 756 783 812 1044 1134 1218 1512 1566 1624 1827 2088 2268 2349 2436 3132 3654 4536 4698 4872 5481 6264 7308 9396 10962 14616 16443 18792 21924 32886 43848 65772 131544 456439 912878 1369317 1825756 2738634 3195073 3651512 4107951 5477268 6390146 8215902 9585219 10954536 12323853 12780292 13236731 16431804 19170438 24647706 25560584 26473462 28755657 32863608 36971559 38340876 39710193 49295412 52946924 57511314 73943118 76681752 79420386 86266971 92657117 98590824 105893848 115022628 119130579 147886236 158840772 172533942 185314234 230045256 238261158 258800913 277971351 295772472 317681544 345067884 357391737 370628468 476522316 517601826 555942702 690135768 714783474 741256936 833914053 953044632 1035203652 1072175211 1111885404 1429566948 1667828106 2070407304 2144350422 2223770808 2501742159 2859133896 3335656212 4288700844 5003484318 6671312424 7505226477 8577401688 10006968636 15010452954 20013937272 30020905908 60041811816