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5394849264 = 2433710716673
BaseRepresentation
bin1010000011000111…
…01101110111110000
3111220222100201221000
411001203231313300
542022040134024
62251154202000
7250455314340
oct50143556760
914828321830
105394849264
112319285112
121066883300
1367c8b88cc
143926c4d20
1521894dcc9
hex1418eddf0

5394849264 has 160 divisors (see below), whose sum is σ = 17863856640. Its totient is φ = 1526888448.

The previous prime is 5394849263. The next prime is 5394849281. The reversal of 5394849264 is 4629484935.

5394849264 is a `hidden beast` number, since 5 + 3 + 94 + 8 + 492 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5394849264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5394849263) 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, 315232 + ... + 331904.

It is an arithmetic number, because the mean of its divisors is an integer number (111649104).

Almost surely, 25394849264 is an apocalyptic number.

5394849264 is a gapful number since it is divisible by the number (54) 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 5394849264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8931928320).

5394849264 is an abundant number, since it is smaller than the sum of its proper divisors (12469007376).

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

5394849264 is a wasteful number, since it uses less digits than its factorization.

5394849264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16804 (or 16792 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 5394849264 is about 73449.6376029181. The cubic root of 5394849264 is about 1753.8526564643.

The spelling of 5394849264 in words is "five billion, three hundred ninety-four million, eight hundred forty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 107 108 112 126 144 168 189 214 216 252 321 336 378 428 432 504 642 749 756 856 963 1008 1284 1498 1512 1712 1926 2247 2568 2889 2996 3024 3852 4494 5136 5778 5992 6741 7704 8988 11556 11984 13482 15408 16673 17976 20223 23112 26964 33346 35952 40446 46224 50019 53928 66692 80892 100038 107856 116711 133384 150057 161784 200076 233422 266768 300114 323568 350133 400152 450171 466844 600228 700266 800304 900342 933688 1050399 1200456 1400532 1784011 1800684 1867376 2100798 2400912 2801064 3151197 3568022 3601368 4201596 5352033 5602128 6302394 7136044 7202736 8403192 10704066 12488077 12604788 14272088 16056099 16806384 21408132 24976154 25209576 28544176 32112198 37464231 42816264 48168297 49952308 50419152 64224396 74928462 85632528 96336594 99904616 112392693 128448792 149856924 192673188 199809232 224785386 256897584 299713848 337178079 385346376 449570772 599427696 674356158 770692752 899141544 1348712316 1798283088 2697424632 5394849264