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5348433024 = 273311140689
BaseRepresentation
bin1001111101100101…
…01001110010000000
3111210202000112211000
410332302221302000
541423144324044
62242415252000
7246352634124
oct47662516200
914722015730
105348433024
1122a5061990
12105321a000
136730b678c
1438a481584
15214830d69
hex13eca9c80

5348433024 has 128 divisors (see below), whose sum is σ = 17220456000. Its totient is φ = 1620725760.

The previous prime is 5348432989. The next prime is 5348433031. The reversal of 5348433024 is 4203348435.

5348433024 is a `hidden beast` number, since 5 + 348 + 4 + 3 + 302 + 4 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 5348433024.

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, 32329 + ... + 108360.

Almost surely, 25348433024 is an apocalyptic number.

5348433024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5348433024 is an abundant number, since it is smaller than the sum of its proper divisors (11872022976).

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

5348433024 is a wasteful number, since it uses less digits than its factorization.

5348433024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140723 (or 140705 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 5348433024 is about 73132.9817797688. The cubic root of 5348433024 is about 1748.8082251946.

The spelling of 5348433024 in words is "five billion, three hundred forty-eight million, four hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 19008 38016 140689 281378 422067 562756 844134 1125512 1266201 1547579 1688268 2251024 2532402 3095158 3376536 3798603 4502048 4642737 5064804 6190316 6753072 7597206 9004096 9285474 10129608 12380632 13506144 13928211 15194412 18008192 18570948 20259216 24761264 27012288 27856422 30388824 37141896 40518432 41784633 49522528 54024576 55712844 60777648 74283792 81036864 83569266 99045056 111425688 121555296 148567584 162073728 167138532 198090112 222851376 243110592 297135168 334277064 445702752 486221184 594270336 668554128 891405504 1337108256 1782811008 2674216512 5348433024