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5421289680 = 243257995311
BaseRepresentation
bin1010000110010001…
…00101000011010000
3111222211010001100200
411003020211003100
542100322232210
62253541015200
7251226126162
oct50310450320
914884101320
105421289680
1123321a41a4
1210736b4500
13685215621
14396008932
1521ae230c0
hex1432250d0

5421289680 has 120 divisors (see below), whose sum is σ = 18437153280. Its totient is φ = 1427362560.

The previous prime is 5421289673. The next prime is 5421289723. The reversal of 5421289680 is 869821245.

5421289680 is a `hidden beast` number, since 542 + 1 + 28 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9225 + ... + 104535.

It is an arithmetic number, because the mean of its divisors is an integer number (153642944).

Almost surely, 25421289680 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 5421289680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9218576640).

5421289680 is an abundant number, since it is smaller than the sum of its proper divisors (13015863600).

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

5421289680 is a wasteful number, since it uses less digits than its factorization.

5421289680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95409 (or 95400 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5421289680 is about 73629.4077118647. The cubic root of 5421289680 is about 1756.7132270488.

The spelling of 5421289680 in words is "five billion, four hundred twenty-one million, two hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 79 80 90 120 144 158 180 237 240 316 360 395 474 632 711 720 790 948 1185 1264 1422 1580 1896 2370 2844 3160 3555 3792 4740 5688 6320 7110 9480 11376 14220 18960 28440 56880 95311 190622 285933 381244 476555 571866 762488 857799 953110 1143732 1429665 1524976 1715598 1906220 2287464 2859330 3431196 3812440 4288995 4574928 5718660 6862392 7529569 7624880 8577990 11437320 13724784 15059138 17155980 22588707 22874640 30118276 34311960 37647845 45177414 60236552 67766121 68623920 75295690 90354828 112943535 120473104 135532242 150591380 180709656 225887070 271064484 301182760 338830605 361419312 451774140 542128968 602365520 677661210 903548280 1084257936 1355322420 1807096560 2710644840 5421289680