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46869187140 = 2234567342989
BaseRepresentation
bin101011101001100111…
…110000101001000100
311110222101122101210000
4223221213300221010
51231442002442030
633310441201300
73246314342316
oct535147605104
9143871571700
1046869187140
1118971486006
129100490230
13455c246a39
1423a89d57b6
151344ab1860
hexae99f0a44

46869187140 has 120 divisors (see below), whose sum is σ = 147252271320. Its totient is φ = 12479588352.

The previous prime is 46869187133. The next prime is 46869187151. The reversal of 46869187140 is 4178196864.

46869187140 is a `hidden beast` number, since 468 + 6 + 91 + 87 + 14 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2121707844 + 44747479296 = 46062^2 + 211536^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 1068766 + ... + 1111754.

It is an arithmetic number, because the mean of its divisors is an integer number (1227102261).

Almost surely, 246869187140 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 46869187140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73626135660).

46869187140 is an abundant number, since it is smaller than the sum of its proper divisors (100383084180).

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

46869187140 is a wasteful number, since it uses less digits than its factorization.

46869187140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43683 (or 43672 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 46869187140 in words is "forty-six billion, eight hundred sixty-nine million, one hundred eighty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 673 810 1346 1620 2019 2692 3365 4038 6057 6730 8076 10095 12114 13460 18171 20190 24228 30285 36342 40380 42989 54513 60570 72684 85978 90855 109026 121140 128967 171956 181710 214945 218052 257934 272565 363420 386901 429890 515868 545130 644835 773802 859780 1090260 1160703 1289670 1547604 1934505 2321406 2579340 3482109 3869010 4642812 5803515 6964218 7738020 11607030 13928436 17410545 23214060 28931597 34821090 57863194 69642180 86794791 115726388 144657985 173589582 260384373 289315970 347179164 433973955 520768746 578631940 781153119 867947910 1041537492 1301921865 1562306238 1735895820 2343459357 2603843730 3124612476 3905765595 4686918714 5207687460 7811531190 9373837428 11717296785 15623062380 23434593570 46869187140