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2148363432 = 233338325969
BaseRepresentation
bin1000000000001101…
…0110110010101000
312112201112011121000
42000003112302220
513344440112212
6553102515000
7104144534145
oct20003266250
95481464530
102148363432
11a02771276
124bb595a60
13283122387
141654793cc
15c891c1dc
hex800d6ca8

2148363432 has 64 divisors (see below), whose sum is σ = 5983488000. Its totient is φ = 714223872.

The previous prime is 2148363409. The next prime is 2148363473. The reversal of 2148363432 is 2343638412.

2148363432 is a `hidden beast` number, since 2 + 14 + 8 + 3 + 634 + 3 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 69744 + ... + 95712.

It is an arithmetic number, because the mean of its divisors is an integer number (93492000).

Almost surely, 22148363432 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 2148363432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991744000).

2148363432 is an abundant number, since it is smaller than the sum of its proper divisors (3835124568).

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

2148363432 is a wasteful number, since it uses less digits than its factorization.

2148363432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26367 (or 26357 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 2148363432 is about 46350.4415512948. The cubic root of 2148363432 is about 1290.3353157527.

The spelling of 2148363432 in words is "two billion, one hundred forty-eight million, three hundred sixty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 383 766 1149 1532 2298 3064 3447 4596 6894 9192 10341 13788 20682 25969 27576 41364 51938 77907 82728 103876 155814 207752 233721 311628 467442 623256 701163 934884 1402326 1869768 2804652 5609304 9946127 19892254 29838381 39784508 59676762 79569016 89515143 119353524 179030286 238707048 268545429 358060572 537090858 716121144 1074181716 2148363432