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5464884645 = 3351137791259
BaseRepresentation
bin1010001011011101…
…11000010110100101
3112002212010220102000
411011232320112211
542143002302040
62302135235513
7252265516203
oct50556702645
915085126360
105464884645
11235486a7a0
121086218b99
1369126a56c
1439bb16073
1521eb85130
hex145bb85a5

5464884645 has 128 divisors (see below), whose sum is σ = 11031552000. Its totient is φ = 2543374080.

The previous prime is 5464884637. The next prime is 5464884661.

5464884645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5464884645 - 23 = 5464884637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5464884591 and 5464884600.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 4340026 + ... + 4341284.

It is an arithmetic number, because the mean of its divisors is an integer number (86184000).

Almost surely, 25464884645 is an apocalyptic number.

5464884645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5464884645 is an abundant number, since it is smaller than the sum of its proper divisors (5566667355).

5464884645 is a wasteful number, since it uses less digits than its factorization.

5464884645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1394 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The square root of 5464884645 is about 73924.8580992889. The cubic root of 5464884645 is about 1761.4094947221.

The spelling of 5464884645 in words is "five billion, four hundred sixty-four million, eight hundred eighty-four thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 37 45 55 79 99 111 135 165 185 237 297 333 395 407 495 555 711 869 999 1185 1221 1259 1485 1665 2035 2133 2607 2923 3555 3663 3777 4345 4995 6105 6295 7821 8769 10665 10989 11331 13035 13849 14615 18315 18885 23463 26307 32153 33993 39105 41547 43845 46583 54945 56655 69245 78921 96459 99461 117315 124641 131535 139749 160765 169965 207735 232915 289377 298383 373923 394605 419247 482295 497305 512413 623205 698745 868131 895149 1094071 1257741 1446885 1491915 1537239 1869615 2096235 2562065 2685447 3282213 3680057 4340655 4475745 4611717 5470355 6288705 7686195 9846639 11040171 13427235 13835151 16411065 18400285 23058585 29539917 33120513 40480627 49233195 55200855 69175755 99361539 121441881 147699585 165602565 202403135 364325643 496807695 607209405 1092976929 1821628215 5464884645