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41620893103416 = 233111499321732693
BaseRepresentation
bin10010111011010100111101…
…00011000111010100111000
312110100220210121021010002210
421131222132203013110320
520423404042113302131
6224304212504455120
711524003350100524
oct1135523643072470
9173326717233083
1041620893103416
111229735a114380
1248024a8a7a4a0
131a2baaac18993
14a3c667930d84
154c29c5685146
hex25da9e8c7538

41620893103416 has 128 divisors (see below), whose sum is σ = 113626035360000. Its totient is φ = 12599674644480.

The previous prime is 41620893103411. The next prime is 41620893103483. The reversal of 41620893103416 is 61430139802614.

41620893103416 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41620893103411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1273066366 + ... + 1273099058.

It is an arithmetic number, because the mean of its divisors is an integer number (887703401250).

Almost surely, 241620893103416 is an apocalyptic number.

It is an amenable number.

41620893103416 is an abundant number, since it is smaller than the sum of its proper divisors (72005142256584).

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

41620893103416 is a wasteful number, since it uses less digits than its factorization.

41620893103416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37429 (or 37425 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 41620893103416 in words is "forty-one trillion, six hundred twenty billion, eight hundred ninety-three million, one hundred three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1499 2998 3217 4497 5996 6434 8994 9651 11992 12868 16489 17988 19302 25736 32693 32978 35387 35976 38604 49467 65386 65956 70774 77208 98079 98934 106161 130772 131912 141548 196158 197868 212322 261544 283096 359623 392316 395736 424644 719246 784632 849288 1078869 1438492 2157738 2876984 4315476 4822283 8630952 9644566 14466849 19289132 28933698 38578264 49006807 53045113 57867396 98013614 105173381 106090226 115734792 147020421 159135339 196027228 210346762 212180452 294040842 315520143 318270678 392054456 420693524 424360904 539074877 588081684 631040286 636541356 841387048 1078149754 1156907191 1176163368 1262080572 1273082712 1617224631 2156299508 2313814382 2524161144 3234449262 3470721573 4312599016 4627628764 6468898524 6941443146 9255257528 12937797048 13882886292 27765772584 157654898119 315309796238 472964694357 630619592476 945929388714 1261239184952 1734203879309 1891858777428 3468407758618 3783717554856 5202611637927 6936815517236 10405223275854 13873631034472 20810446551708 41620893103416