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5613614928 = 24362411997
BaseRepresentation
bin1010011101001100…
…01111011101010000
3112111020000012000000
411032212033131100
542444041134203
62325011130000
7256052640165
oct51646173520
915436005000
105613614928
112420814a89
121107ba3900
136b601354c
143b379006c
1522cc634a3
hex14e98f750

5613614928 has 140 divisors (see below), whose sum is σ = 16382972628. Its totient is φ = 1862507520.

The previous prime is 5613614927. The next prime is 5613614947. The reversal of 5613614928 is 8294163165.

5613614928 is a `hidden beast` number, since 5 + 6 + 1 + 3 + 614 + 9 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1810672704 + 3802942224 = 42552^2 + 61668^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5613614927) 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 27 ways as a sum of consecutive naturals, for example, 2810026 + ... + 2812022.

Almost surely, 25613614928 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 5613614928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8191486314).

5613614928 is an abundant number, since it is smaller than the sum of its proper divisors (10769357700).

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

5613614928 is a wasteful number, since it uses less digits than its factorization.

5613614928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2243 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 5613614928 is about 74924.0610751980. The cubic root of 5613614928 is about 1777.2459755559.

The spelling of 5613614928 in words is "five billion, six hundred thirteen million, six hundred fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 241 243 324 432 482 486 648 723 729 964 972 1296 1446 1458 1928 1944 1997 2169 2892 2916 3856 3888 3994 4338 5784 5832 5991 6507 7988 8676 11568 11664 11982 13014 15976 17352 17973 19521 23964 26028 31952 34704 35946 39042 47928 52056 53919 58563 71892 78084 95856 104112 107838 117126 143784 156168 161757 175689 215676 234252 287568 312336 323514 351378 431352 468504 481277 485271 647028 702756 862704 937008 962554 970542 1294056 1405512 1443831 1455813 1925108 1941084 2588112 2811024 2887662 2911626 3850216 3882168 4331493 5775324 5823252 7700432 7764336 8662986 11550648 11646504 12994479 17325972 23101296 23293008 25988958 34651944 38983437 51977916 69303888 77966874 103955832 116950311 155933748 207911664 233900622 311867496 350850933 467801244 623734992 701701866 935602488 1403403732 1871204976 2806807464 5613614928