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41978530048 = 287133734831
BaseRepresentation
bin100111000110000111…
…011000100100000000
311000100120000021111011
4213012013120210000
51141433000430143
631141253330304
73014160421660
oct470607304400
9130316007434
1041978530048
1116891870a44
128176636994
133c5cc503c0
1420632781a0
15115a557e9d
hex9c61d8900

41978530048 has 144 divisors (see below), whose sum is σ = 103427838976. Its totient is φ = 16558940160.

The previous prime is 41978530037. The next prime is 41978530127. The reversal of 41978530048 is 84003587914.

It is a junction number, because it is equal to n+sod(n) for n = 41978529983 and 41978530010.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8686993 + ... + 8691823.

Almost surely, 241978530048 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 41978530048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51713919488).

41978530048 is an abundant number, since it is smaller than the sum of its proper divisors (61449308928).

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

41978530048 is a wasteful number, since it uses less digits than its factorization.

41978530048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5240 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 41978530048 in words is "forty-one billion, nine hundred seventy-eight million, five hundred thirty thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 373 416 448 728 746 832 896 1456 1492 1664 1792 2611 2912 2984 3328 4831 4849 5222 5824 5968 9662 9698 10444 11648 11936 19324 19396 20888 23296 23872 33817 33943 38648 38792 41776 47744 62803 67634 67886 77296 77584 83552 95488 125606 135268 135772 154592 155168 167104 251212 270536 271544 309184 310336 334208 439621 502424 541072 543088 618368 620672 668416 879242 1004848 1082144 1086176 1236736 1241344 1758484 1801963 2009696 2164288 2172352 3516968 3603926 4019392 4328576 4344704 7033936 7207852 8038784 8657152 8689408 12613741 14067872 14415704 16077568 23425519 25227482 28135744 28831408 46851038 50454964 56271488 57662816 93702076 100909928 112542976 115325632 163978633 187404152 201819856 230651264 327957266 374808304 403639712 461302528 655914532 749616608 807279424 1311829064 1499233216 1614558848 2623658128 2998466432 3229117696 5247316256 5996932864 10494632512 20989265024 41978530048