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41581996456 = 237111321792383
BaseRepresentation
bin100110101110011110…
…101110100110101000
310222022220212021122211
4212232132232212220
51140124442341311
631034050254504
73001304065240
oct465636564650
9128286767584
1041581996456
11166a8a53430
128085887434
133bc8a53840
142026736b20
15113582b821
hex9ae7ae9a8

41581996456 has 128 divisors (see below), whose sum is σ = 104773939200. Its totient is φ = 14941428480.

The previous prime is 41581996411. The next prime is 41581996483. The reversal of 41581996456 is 65469918514.

It is a self number, because there is not a number n which added to its sum of digits gives 41581996456.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17448241 + ... + 17450623.

It is an arithmetic number, because the mean of its divisors is an integer number (818546400).

Almost surely, 241581996456 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 41581996456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52386969600).

41581996456 is an abundant number, since it is smaller than the sum of its proper divisors (63191942744).

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

41581996456 is a wasteful number, since it uses less digits than its factorization.

41581996456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4599 (or 4595 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 58.

The spelling of 41581996456 in words is "forty-one billion, five hundred eighty-one million, nine hundred ninety-six thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 2179 2383 4004 4358 4766 8008 8716 9532 15253 16681 17432 19064 23969 26213 28327 30506 30979 33362 47938 52426 56654 61012 61958 66724 95876 104852 113308 122024 123916 133448 167783 183491 191752 198289 209704 216853 226616 247832 311597 335566 340769 366982 396578 433706 623194 671132 681538 733964 793156 867412 1246388 1342264 1363076 1467928 1586312 1734824 2181179 2385383 2492776 2726152 4362358 4770766 5192557 8724716 9541532 10385114 17449432 19083064 20770228 36347899 41540456 57118127 67503241 72695798 114236254 135006482 145391596 228472508 270012964 290783192 399826889 456945016 472522687 540025928 742535651 799653778 945045374 1485071302 1599307556 1890090748 2970142604 3198615112 3780181496 5197749557 5940285208 10395499114 20790998228 41581996456