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16405706408 = 23713194327583
BaseRepresentation
bin11110100011101101…
…10011011010101000
31120100100020020100212
433101312303122220
5232044330101113
611311531120252
71120356126560
oct172166633250
946310206325
1016405706408
116a59659053
12321a2a3088
131715b44cb0
14b18bbdda0
156604350a8
hex3d1db36a8

16405706408 has 128 divisors (see below), whose sum is σ = 40780185600. Its totient is φ = 6005373696.

The previous prime is 16405706407. The next prime is 16405706419. The reversal of 16405706408 is 80460750461.

It is not an unprimeable number, because it can be changed into a prime (16405706407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580985 + ... + 608567.

It is an arithmetic number, because the mean of its divisors is an integer number (318595200).

Almost surely, 216405706408 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 16405706408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20390092800).

16405706408 is an abundant number, since it is smaller than the sum of its proper divisors (24374479192).

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

16405706408 is a wasteful number, since it uses less digits than its factorization.

16405706408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27671 (or 27667 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 16405706408 in words is "sixteen billion, four hundred five million, seven hundred six thousand, four hundred eight".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 43 52 56 76 86 91 104 133 152 172 182 247 266 301 344 364 494 532 559 602 728 817 988 1064 1118 1204 1634 1729 1976 2236 2408 3268 3458 3913 4472 5719 6536 6916 7826 10621 11438 13832 15652 21242 22876 27583 31304 42484 45752 55166 74347 84968 110332 148694 193081 220664 297388 358579 386162 524077 594776 717158 772324 1048154 1186069 1434316 1544648 2096308 2372138 2510053 2868632 3668539 4192616 4744276 5020106 6813001 7337078 8302483 9488552 10040212 13626002 14674156 15418897 16604966 20080424 22535311 27252004 29348312 30837794 33209932 45070622 47691007 54504008 61675588 66419864 90141244 95382014 107932279 123351176 157747177 180282488 190764028 215864558 292959043 315494354 381528056 431729116 585918086 630988708 863458232 1171836172 1261977416 2050713301 2343672344 4101426602 8202853204 16405706408