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41781912912 = 2433196183449
BaseRepresentation
bin100110111010011001…
…010110010101010000
310222211212001002111000
4212322121112111100
51141032132203122
631105551222000
73006252254115
oct467231262520
9128755032430
1041781912912
11167a0889643
128120817900
133c2b2ababc
1420450d690c
15114816b0ac
hex9ba656550

41781912912 has 160 divisors (see below), whose sum is σ = 128312720000. Its totient is φ = 12977832960.

The previous prime is 41781912901. The next prime is 41781912917. The reversal of 41781912912 is 21921918714.

41781912912 is a `hidden beast` number, since 4 + 178 + 191 + 291 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41781912917) 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 31 ways as a sum of consecutive naturals, for example, 458964 + ... + 542412.

It is an arithmetic number, because the mean of its divisors is an integer number (801954500).

Almost surely, 241781912912 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 41781912912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64156360000).

41781912912 is an abundant number, since it is smaller than the sum of its proper divisors (86530807088).

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

41781912912 is a wasteful number, since it uses less digits than its factorization.

41781912912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83546 (or 83534 counting only the distinct ones).

The product of its digits is 72576, while the sum is 45.

The spelling of 41781912912 in words is "forty-one billion, seven hundred eighty-one million, nine hundred twelve thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 61 72 76 108 114 122 144 152 171 183 216 228 244 304 342 366 432 456 488 513 549 684 732 912 976 1026 1098 1159 1368 1464 1647 2052 2196 2318 2736 2928 3294 3477 4104 4392 4636 6588 6954 8208 8784 9272 10431 13176 13908 18544 20862 26352 27816 31293 41724 55632 62586 83448 83449 125172 166896 166898 250344 250347 333796 500688 500694 667592 751041 1001388 1335184 1502082 1585531 2002776 2253123 3004164 3171062 4005552 4506246 4756593 5090389 6008328 6342124 9012492 9513186 10180778 12016656 12684248 14269779 15271167 18024984 19026372 20361556 25368496 28539558 30542334 36049968 38052744 40723112 42809337 45813501 57079116 61084668 76105488 81446224 85618674 91627002 96717391 114158232 122169336 137440503 171237348 183254004 193434782 228316464 244338672 274881006 290152173 342474696 366508008 386869564 549762012 580304346 684949392 733016016 773739128 870456519 1099524024 1160608692 1547478256 1740913038 2199048048 2321217384 2611369557 3481826076 4642434768 5222739114 6963652152 10445478228 13927304304 20890956456 41781912912