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6514199808 = 283171633061
BaseRepresentation
bin1100001000100011…
…01100110100000000
3121210222121122012120
412010101230310000
5101320113343213
62554221524240
7320266533114
oct60421546400
917728548176
106514199808
112843106806
121319713680
137ca7831cc
1445b21d744
15281d58423
hex18446cd00

6514199808 has 144 divisors (see below), whose sum is σ = 18475765056. Its totient is φ = 2030469120.

The previous prime is 6514199807. The next prime is 6514199831. The reversal of 6514199808 is 8089914156.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6514199801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2126598 + ... + 2129658.

It is an arithmetic number, because the mean of its divisors is an integer number (128303924).

Almost surely, 26514199808 is an apocalyptic number.

6514199808 is a gapful number since it is divisible by the number (68) 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 6514199808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9237882528).

6514199808 is an abundant number, since it is smaller than the sum of its proper divisors (11961565248).

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

6514199808 is a wasteful number, since it uses less digits than its factorization.

6514199808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The square root of 6514199808 is about 80710.5929107202. The cubic root of 6514199808 is about 1867.6135884989.

The spelling of 6514199808 in words is "six billion, five hundred fourteen million, one hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 163 192 204 256 272 326 384 408 489 544 652 768 816 978 1088 1304 1632 1956 2176 2608 2771 3061 3264 3912 4352 5216 5542 6122 6528 7824 8313 9183 10432 11084 12244 13056 15648 16626 18366 20864 22168 24488 31296 33252 36732 41728 44336 48976 52037 62592 66504 73464 88672 97952 104074 125184 133008 146928 156111 177344 195904 208148 266016 293856 312222 354688 391808 416296 498943 532032 587712 624444 709376 783616 832592 997886 1064064 1175424 1248888 1496829 1665184 1995772 2128128 2350848 2497776 2993658 3330368 3991544 4995552 5987316 6660736 7983088 8482031 9991104 11974632 13321472 15966176 16964062 19982208 23949264 25446093 31932352 33928124 39964416 47898528 50892186 63864704 67856248 95797056 101784372 127729408 135712496 191594112 203568744 271424992 383188224 407137488 542849984 814274976 1085699968 1628549952 2171399936 3257099904 6514199808