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41664434604 = 22313247521839
BaseRepresentation
bin100110110011011001…
…001101000110101100
310222112122222120112120
4212303121031012230
51140312043401404
631050153232540
73003324564552
oct466331150654
9128478876476
1041664434604
111674053a431
1280a9402750
133c0cb58900
142033675bd2
15113cbb29d9
hex9b364d1ac

41664434604 has 144 divisors (see below), whose sum is σ = 107845032960. Its totient is φ = 12508055040.

The previous prime is 41664434597. The next prime is 41664434621. The reversal of 41664434604 is 40643446614.

41664434604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×416644346042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49659217 + ... + 49660055.

It is an arithmetic number, because the mean of its divisors is an integer number (748923840).

Almost surely, 241664434604 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 41664434604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53922516480).

41664434604 is an abundant number, since it is smaller than the sum of its proper divisors (66180598356).

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

41664434604 is a wasteful number, since it uses less digits than its factorization.

41664434604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 41664434604 in words is "forty-one billion, six hundred sixty-four million, four hundred thirty-four thousand, six hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 169 188 282 338 507 521 564 611 676 839 1014 1042 1222 1563 1678 1833 2028 2084 2444 2517 3126 3356 3666 5034 6252 6773 7332 7943 10068 10907 13546 15886 20319 21814 23829 24487 27092 31772 32721 39433 40638 43628 47658 48974 65442 73461 78866 81276 88049 95316 97948 118299 130884 141791 146922 157732 176098 236598 264147 283582 293844 318331 352196 425373 437119 473196 512629 528294 567164 636662 850746 874238 954993 1025258 1056588 1273324 1311357 1537887 1701492 1748476 1909986 2050516 2622714 3075774 3819972 4138303 5245428 5682547 6151548 6664177 8276606 11365094 12414909 13328354 16553212 17047641 19992531 20544593 22730188 24829818 26656708 34095282 39985062 41089186 49659636 61633779 68190564 73873111 79970124 82178372 123267558 147746222 221619333 246535116 267079709 295492444 443238666 534159418 801239127 886477332 1068318836 1602478254 3204956508 3472036217 6944072434 10416108651 13888144868 20832217302 41664434604