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5309118144 = 263211837929
BaseRepresentation
bin1001111000111001…
…01011011011000000
3111201000001010221100
410330130223123000
541333113240034
62234452454400
7245364521361
oct47434533300
914630033840
105309118144
11228494a050
12104201a400
13667bcca35
14385169b68
15211167099
hex13c72b6c0

5309118144 has 84 divisors (see below), whose sum is σ = 16601069160. Its totient is φ = 1608821760.

The previous prime is 5309118121. The next prime is 5309118181. The reversal of 5309118144 is 4418119035.

5309118144 is a `hidden beast` number, since 530 + 9 + 1 + 1 + 81 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5309118099 and 5309118108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 412629 + ... + 425300.

Almost surely, 25309118144 is an apocalyptic number.

It is an amenable number.

5309118144 is an abundant number, since it is smaller than the sum of its proper divisors (11291951016).

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

5309118144 is a wasteful number, since it uses less digits than its factorization.

5309118144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837958 (or 837945 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5309118144 is about 72863.6956515383. The cubic root of 5309118144 is about 1744.5126778809.

The spelling of 5309118144 in words is "five billion, three hundred nine million, one hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 837929 1675858 2513787 3351716 5027574 6703432 7541361 9217219 10055148 13406864 15082722 18434438 20110296 26813728 27651657 30165444 36868876 40220592 53627456 55303314 60330888 73737752 80441184 82954971 110606628 120661776 147475504 160882368 165909942 221213256 241323552 294951008 331819884 442426512 482647104 589902016 663639768 884853024 1327279536 1769706048 2654559072 5309118144