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41978705664 = 283710772977
BaseRepresentation
bin100111000110001000…
…000011011100000000
311000100120100012101110
4213012020003130000
51141433022040124
631141301203320
73014162052660
oct470610033400
9130316305343
1041978705664
1116891980985
128176700540
133c5ccb230c
1420632c21a0
15115a590029
hex9c6203700

41978705664 has 144 divisors (see below), whose sum is σ = 128880315648. Its totient is φ = 11881660416.

The previous prime is 41978705653. The next prime is 41978705689. The reversal of 41978705664 is 46650787914.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 538744 + ... + 611720.

It is an arithmetic number, because the mean of its divisors is an integer number (895002192).

Almost surely, 241978705664 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 41978705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64440157824).

41978705664 is an abundant number, since it is smaller than the sum of its proper divisors (86901609984).

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

41978705664 is a wasteful number, since it uses less digits than its factorization.

41978705664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73110 (or 73096 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 41978705664 in words is "forty-one billion, nine hundred seventy-eight million, seven hundred five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 107 112 128 168 192 214 224 256 321 336 384 428 448 642 672 749 768 856 896 1284 1344 1498 1712 1792 2247 2568 2688 2996 3424 4494 5136 5376 5992 6848 8988 10272 11984 13696 17976 20544 23968 27392 35952 41088 47936 71904 72977 82176 95872 143808 145954 191744 218931 287616 291908 437862 510839 575232 583816 875724 1021678 1167632 1532517 1751448 2043356 2335264 3065034 3502896 4086712 4670528 6130068 7005792 7808539 8173424 9341056 12260136 14011584 15617078 16346848 18682112 23425617 24520272 28023168 31234156 32693696 46851234 49040544 54659773 56046336 62468312 65387392 93702468 98081088 109319546 124936624 130774784 163979319 187404936 196162176 218639092 249873248 327958638 374809872 392324352 437278184 499746496 655917276 749619744 874556368 999492992 1311834552 1499239488 1749112736 1998985984 2623669104 2998478976 3498225472 5247338208 5996957952 6996450944 10494676416 13992901888 20989352832 41978705664