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16641408705432 = 23371271375693201
BaseRepresentation
bin1111001000101010000101…
…0000010010001110011000
32011220220101101102001021120
43302022201100102032120
54140123101112033212
655220542502405240
73335205423035310
oct362124120221630
964826341361246
1016641408705432
115336644412275
121a49272130820
13939380004084
1441763c8aa440
151dcd3424488c
hexf22a1412398

16641408705432 has 128 divisors (see below), whose sum is σ = 48271065661440. Its totient is φ = 4682816409600.

The previous prime is 16641408705431. The next prime is 16641408705437. The reversal of 16641408705432 is 23450780414661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16641408705431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76432 + ... + 5769632.

It is an arithmetic number, because the mean of its divisors is an integer number (377117700480).

Almost surely, 216641408705432 is an apocalyptic number.

16641408705432 is a gapful number since it is divisible by the number (12) 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 16641408705432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24135532830720).

16641408705432 is an abundant number, since it is smaller than the sum of its proper divisors (31629656956008).

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

16641408705432 is a wasteful number, since it uses less digits than its factorization.

16641408705432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5693481 (or 5693477 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 16641408705432 in words is "sixteen trillion, six hundred forty-one billion, four hundred eight million, seven hundred five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 137 168 254 274 381 411 508 548 762 822 889 959 1016 1096 1524 1644 1778 1918 2667 2877 3048 3288 3556 3836 5334 5754 7112 7672 10668 11508 17399 21336 23016 34798 52197 69596 104394 121793 139192 208788 243586 365379 417576 487172 730758 974344 1461516 2923032 5693201 11386402 17079603 22772804 34159206 39852407 45545608 68318412 79704814 119557221 136636824 159409628 239114442 318819256 478228884 723036527 779968537 956457768 1446073054 1559937074 2169109581 2339905611 2892146108 3119874148 4338219162 4679811222 5061255689 5459779759 5784292216 6239748296 8676438324 9359622444 10122511378 10919559518 15183767067 16379339277 17352876648 18719244888 20245022756 21839119036 30367534134 32758678554 40490045512 43678238072 60735068268 65517357108 99056004199 121470136536 131034714216 198112008398 297168012597 396224016796 594336025194 693392029393 792448033592 1188672050388 1386784058786 2080176088179 2377344100776 2773568117572 4160352176358 5547136235144 8320704352716 16641408705432