Search a number
-
+
5614399056 = 2437179371049
BaseRepresentation
bin1010011101010010…
…01110111001010000
3112111021111000121210
411032221032321100
542444241232211
62325040020120
7256062414240
oct51651167120
915437430553
105614399056
112421200122
121108301640
136b6229426
143b3915b20
1522cd6a9a6
hex14ea4ee50

5614399056 has 160 divisors (see below), whose sum is σ = 17586374400. Its totient is φ = 1506705408.

The previous prime is 5614399031. The next prime is 5614399079. The reversal of 5614399056 is 6509934165.

It is a happy number.

It is a super-2 number, since 2×56143990562 = 63042953520027382272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5614398996 and 5614399014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5351620 + ... + 5352668.

It is an arithmetic number, because the mean of its divisors is an integer number (109914840).

Almost surely, 25614399056 is an apocalyptic number.

5614399056 is a gapful number since it is divisible by the number (56) 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 5614399056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8793187200).

5614399056 is an abundant number, since it is smaller than the sum of its proper divisors (11971975344).

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

5614399056 is a wasteful number, since it uses less digits than its factorization.

5614399056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The square root of 5614399056 is about 74929.2937108045. The cubic root of 5614399056 is about 1777.3287222036.

The spelling of 5614399056 in words is "five billion, six hundred fourteen million, three hundred ninety-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 937 952 1049 1428 1874 1904 2098 2811 2856 3147 3748 4196 5622 5712 6294 6559 7343 7496 8392 11244 12588 13118 14686 14992 15929 16784 17833 19677 22029 22488 25176 26236 29372 31858 35666 39354 44058 44976 47787 50352 52472 53499 58744 63716 71332 78708 88116 95574 104944 106998 111503 117488 124831 127432 142664 157416 176232 191148 213996 223006 249662 254864 285328 314832 334509 352464 374493 382296 427992 446012 499324 669018 748986 764592 855984 892024 982913 998648 1338036 1497972 1784048 1965826 1997296 2676072 2948739 2995944 3931652 5352144 5897478 5991888 6880391 7863304 11794956 13760782 15726608 16709521 20641173 23589912 27521564 33419042 41282346 47179824 50128563 55043128 66838084 82564692 100257126 110086256 116966647 133676168 165129384 200514252 233933294 267352336 330258768 350899941 401028504 467866588 701799882 802057008 935733176 1403599764 1871466352 2807199528 5614399056