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2151347328 = 273213143653
BaseRepresentation
bin1000000000111010…
…1111010010000000
312112221010202201200
42000032233102000
513401221103303
6553250501200
7104212102434
oct20016572200
95487122650
102151347328
11a0441a0a9
12500594800
132839285b0
14165a149c4
15c8d0b3a3
hex803af480

2151347328 has 96 divisors (see below), whose sum is σ = 6666982140. Its totient is φ = 661948416.

The previous prime is 2151347311. The next prime is 2151347347. The reversal of 2151347328 is 8237431512.

It can be written as a sum of positive squares in 2 ways, for example, as 2085931584 + 65415744 = 45672^2 + 8088^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 2151347292 and 2151347301.

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 11 ways as a sum of consecutive naturals, for example, 56851 + ... + 86802.

Almost surely, 22151347328 is an apocalyptic number.

It is an amenable number.

2151347328 is an abundant number, since it is smaller than the sum of its proper divisors (4515634812).

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

2151347328 is a wasteful number, since it uses less digits than its factorization.

2151347328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143686 (or 143671 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2151347328 is about 46382.6188135168. The cubic root of 2151347328 is about 1290.9324284444.

The spelling of 2151347328 in words is "two billion, one hundred fifty-one million, three hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 143653 287306 430959 574612 861918 1149224 1292877 1723836 1867489 2298448 2585754 3447672 3734978 4596896 5171508 5602467 6895344 7469956 9193792 10343016 11204934 13790688 14939912 16807401 18387584 20686032 22409868 27581376 29879824 33614802 41372064 44819736 55162752 59759648 67229604 82744128 89639472 119519296 134459208 165488256 179278944 239038592 268918416 358557888 537836832 717115776 1075673664 2151347328