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55359468360 = 2333577322681
BaseRepresentation
bin110011100011101011…
…100111001101001000
312021220002121101002000
4303203223213031020
51401334010441420
641233133311000
73666600500640
oct634353471510
9167802541060
1055359468360
1121528a81a49
12a88b935460
1352b321b391
142972445520
151690155690
hexce3ae7348

55359468360 has 128 divisors (see below), whose sum is σ = 210893241600. Its totient is φ = 12653591040.

The previous prime is 55359468349. The next prime is 55359468397. The reversal of 55359468360 is 6386495355.

It is a happy number.

55359468360 is a `hidden beast` number, since 5 + 535 + 9 + 46 + 8 + 3 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55359468297 and 55359468306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3653781 + ... + 3668900.

It is an arithmetic number, because the mean of its divisors is an integer number (1647603450).

Almost surely, 255359468360 is an apocalyptic number.

It is an amenable number.

55359468360 is an abundant number, since it is smaller than the sum of its proper divisors (155533773240).

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

55359468360 is a wasteful number, since it uses less digits than its factorization.

55359468360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7322708 (or 7322698 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 55359468360 in words is "fifty-five billion, three hundred fifty-nine million, four hundred sixty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 7322681 14645362 21968043 29290724 36613405 43936086 51258767 58581448 65904129 73226810 87872172 102517534 109840215 131808258 146453620 153776301 175744344 197712387 205035068 219680430 256293835 263616516 292907240 307552602 329520645 395424774 410070136 439360860 461328903 512587670 527233032 615105204 659041290 768881505 790849548 878721720 922657806 988561935 1025175340 1230210408 1318082580 1383986709 1537763010 1581699096 1845315612 1977123870 2050350680 2306644515 2636165160 2767973418 3075526020 3690631224 3954247740 4613289030 5535946836 6151052040 6919933545 7908495480 9226578060 11071893672 13839867090 18453156120 27679734180 55359468360