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5466871680 = 273519314753
BaseRepresentation
bin1010001011101100…
…11101011110000000
3112002222212212002220
411011312131132000
542144004343210
62302250011040
7252321433254
oct50566353600
915088785086
105466871680
1123559a7676
121086a16a80
136917b4b1a
1439c0b2264
1521ee28c70
hex145d9d780

5466871680 has 128 divisors (see below), whose sum is σ = 17517129120. Its totient is φ = 1450180608.

The previous prime is 5466871673. The next prime is 5466871763. The reversal of 5466871680 is 861786645.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363184 + ... + 377936.

Almost surely, 25466871680 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 5466871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8758564560).

5466871680 is an abundant number, since it is smaller than the sum of its proper divisors (12050257440).

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

5466871680 is a wasteful number, since it uses less digits than its factorization.

5466871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14968 (or 14956 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 5466871680 is about 73938.2964369615. The cubic root of 5466871680 is about 1761.6229520001.

The spelling of 5466871680 in words is "five billion, four hundred sixty-six million, eight hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 193 240 320 384 386 480 579 640 772 960 965 1158 1544 1920 1930 2316 2895 3088 3860 4632 5790 6176 7720 9264 11580 12352 14753 15440 18528 23160 24704 29506 30880 37056 44259 46320 59012 61760 73765 74112 88518 92640 118024 123520 147530 177036 185280 221295 236048 295060 354072 370560 442590 472096 590120 708144 885180 944192 1180240 1416288 1770360 1888384 2360480 2832576 2847329 3540720 4720960 5665152 5694658 7081440 8541987 9441920 11389316 14162880 14236645 17083974 22778632 28325760 28473290 34167948 42709935 45557264 56946580 68335896 85419870 91114528 113893160 136671792 170839740 182229056 227786320 273343584 341679480 364458112 455572640 546687168 683358960 911145280 1093374336 1366717920 1822290560 2733435840 5466871680