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41885116896 = 2537219734513
BaseRepresentation
bin100111000000100011…
…000010100111100000
311000010001020101201210
4213000203002213200
51141240042220041
631124115230120
73011644422300
oct470043024740
9130101211653
1041885116896
1116844069297
12814b2a8340
133c467a4a4c
142054abd600
151152255016
hex9c08c29e0

41885116896 has 144 divisors (see below), whose sum is σ = 127992375504. Its totient is φ = 11958460416.

The previous prime is 41885116891. The next prime is 41885116901. The reversal of 41885116896 is 69861158814.

It is an interprime number because it is at equal distance from previous prime (41885116891) and next prime (41885116901).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41885116891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9278736 + ... + 9283248.

It is an arithmetic number, because the mean of its divisors is an integer number (888835941).

Almost surely, 241885116896 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 41885116896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63996187752).

41885116896 is an abundant number, since it is smaller than the sum of its proper divisors (86107258608).

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

41885116896 is a wasteful number, since it uses less digits than its factorization.

41885116896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6513 (or 6498 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 57.

The spelling of 41885116896 in words is "forty-one billion, eight hundred eighty-five million, one hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 1973 2352 3946 4513 4704 5919 7892 9026 11838 13539 13811 15784 18052 23676 27078 27622 31568 31591 36104 41433 47352 54156 55244 63136 63182 72208 82866 94704 94773 96677 108312 110488 126364 144416 165732 189408 189546 193354 216624 220976 221137 252728 290031 331464 379092 386708 433248 441952 442274 505456 580062 662928 663411 758184 773416 884548 1010912 1160124 1325856 1326822 1516368 1546832 1769096 2320248 2653644 3032736 3093664 3538192 4640496 5307288 7076384 8904149 9280992 10614576 17808298 21229152 26712447 35616596 53424894 62329043 71233192 106849788 124658086 142466384 186987129 213699576 249316172 284932768 373974258 427399152 436303301 498632344 747948516 854798304 872606602 997264688 1308909903 1495897032 1745213204 1994529376 2617819806 2991794064 3490426408 5235639612 5983588128 6980852816 10471279224 13961705632 20942558448 41885116896