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14576969904 = 2437533312473
BaseRepresentation
bin11011001001101101…
…01110100010110000
31101121220010210111020
431210312232202300
5214323201014104
610410243015440
71024142125350
oct154466564260
941556123436
1014576969904
116200357272
1229a996a580
1314b40030a3
149c3d86b60
155a4b022d9
hex364dae8b0

14576969904 has 160 divisors (see below), whose sum is σ = 43999041024. Its totient is φ = 4072273920.

The previous prime is 14576969899. The next prime is 14576969929. The reversal of 14576969904 is 40996967541.

14576969904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 5893212 + ... + 5895684.

Almost surely, 214576969904 is an apocalyptic number.

14576969904 is a gapful number since it is divisible by the number (14) 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 14576969904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21999520512).

14576969904 is an abundant number, since it is smaller than the sum of its proper divisors (29422071120).

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

14576969904 is a wasteful number, since it uses less digits than its factorization.

14576969904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 60.

The spelling of 14576969904 in words is "fourteen billion, five hundred seventy-six million, nine hundred sixty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 331 336 371 424 636 662 742 848 993 1113 1272 1324 1484 1986 2226 2317 2473 2544 2648 2968 3972 4452 4634 4946 5296 5936 6951 7419 7944 8904 9268 9892 13902 14838 15888 17311 17543 17808 18536 19784 27804 29676 34622 35086 37072 39568 51933 52629 55608 59352 69244 70172 103866 105258 111216 118704 122801 131069 138488 140344 207732 210516 245602 262138 276976 280688 368403 393207 415464 421032 491204 524276 736806 786414 818563 830928 842064 917483 982408 1048552 1473612 1572828 1637126 1834966 1964816 2097104 2455689 2752449 2947224 3145656 3274252 3669932 4911378 5504898 5729941 5894448 6291312 6548504 7339864 9822756 11009796 11459882 13097008 14679728 17189823 19645512 22019592 22919764 34379646 39291024 43383839 44039184 45839528 68759292 86767678 91679056 130151517 137518584 173535356 260303034 275037168 303686873 347070712 520606068 607373746 694141424 911060619 1041212136 1214747492 1822121238 2082424272 2429494984 3644242476 4858989968 7288484952 14576969904