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16904469024 = 2532192162593
BaseRepresentation
bin11111011111001010…
…11011101000100000
31121122002202000001100
433233211123220200
5234110021002044
611433225234400
71135623421152
oct175745335040
947562660040
1016904469024
11719514a863
123339332a00
131795285ac1
14b65132ad2
1568e106869
hex3ef95ba20

16904469024 has 108 divisors (see below), whose sum is σ = 50735669166. Its totient is φ = 5338220544.

The previous prime is 16904469011. The next prime is 16904469031. The reversal of 16904469024 is 42096440961.

16904469024 is a `hidden beast` number, since 16 + 90 + 446 + 90 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16012371600 + 892097424 = 126540^2 + 29868^2 .

It is a super-3 number, since 3×169044690243 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 22672 + ... + 185264.

Almost surely, 216904469024 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 16904469024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25367834583).

16904469024 is an abundant number, since it is smaller than the sum of its proper divisors (33831200142).

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

16904469024 is a wasteful number, since it uses less digits than its factorization.

16904469024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162647 (or 162617 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 16904469024 in words is "sixteen billion, nine hundred four million, four hundred sixty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 361 456 608 684 722 912 1083 1368 1444 1824 2166 2736 2888 3249 4332 5472 5776 6498 8664 11552 12996 17328 25992 34656 51984 103968 162593 325186 487779 650372 975558 1300744 1463337 1951116 2601488 2926674 3089267 3902232 5202976 5853348 6178534 7804464 9267801 11706696 12357068 15608928 18535602 23413392 24714136 27803403 37071204 46826784 49428272 55606806 58696073 74142408 98856544 111213612 117392146 148284816 176088219 222427224 234784292 296569632 352176438 444854448 469568584 528264657 704352876 889708896 939137168 1056529314 1408705752 1878274336 2113058628 2817411504 4226117256 5634823008 8452234512 16904469024