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41978064640 = 285174913929
BaseRepresentation
bin100111000110000101…
…100110111100000000
311000100112010122001211
4213012011212330000
51141432341032030
631141235335504
73014153443051
oct470605467400
9130315118054
1041978064640
1116891583306
128176451594
133c5cb19605
142063196728
15115a4b512a
hex9c6166f00

41978064640 has 144 divisors (see below), whose sum is σ = 106709309280. Its totient is φ = 15767306240.

The previous prime is 41978064593. The next prime is 41978064649. The reversal of 41978064640 is 4646087914.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41978064649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10682196 + ... + 10686124.

It is an arithmetic number, because the mean of its divisors is an integer number (741036870).

Almost surely, 241978064640 is an apocalyptic number.

41978064640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41978064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53354654640).

41978064640 is an abundant number, since it is smaller than the sum of its proper divisors (64731244640).

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

41978064640 is a wasteful number, since it uses less digits than its factorization.

41978064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 41978064640 in words is "forty-one billion, nine hundred seventy-eight million, sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 491 544 640 680 982 1088 1280 1360 1964 2176 2455 2720 3928 3929 4352 4910 5440 7856 7858 8347 9820 10880 15712 15716 16694 19640 19645 21760 31424 31432 33388 39280 39290 41735 62848 62864 66776 66793 78560 78580 83470 125696 125728 133552 133586 157120 157160 166940 251456 267104 267172 314240 314320 333880 333965 502912 534208 534344 628480 628640 667760 667930 1005824 1068416 1068688 1257280 1335520 1335860 1929139 2136832 2137376 2514560 2671040 2671720 3858278 4274752 5029120 5342080 5343440 7716556 8549504 9645695 10684160 10686880 15433112 17099008 19291390 21373760 30866224 32795363 38582780 42747520 61732448 65590726 77165560 85495040 123464896 131181452 154331120 163976815 246929792 262362904 308662240 327953630 493859584 524725808 617324480 655907260 1049451616 1234648960 1311814520 2098903232 2469297920 2623629040 4197806464 5247258080 8395612928 10494516160 20989032320 41978064640