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48012734304 = 2532192461803
BaseRepresentation
bin101100101101110010…
…000010111101100000
311120221002102121120200
4230231302002331200
51241312224444204
634020131305200
73316541336133
oct545562027540
9146832377520
1048012734304
11193a8a33a07
12937b44b200
1346b2133972
14247682c21a
1513b019a539
hexb2dc82f60

48012734304 has 108 divisors (see below), whose sum is σ = 144100858356. Its totient is φ = 15161883264.

The previous prime is 48012734299. The next prime is 48012734321. The reversal of 48012734304 is 40343721084.

48012734304 is a `hidden beast` number, since 4 + 80 + 1 + 273 + 4 + 304 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 126934 + ... + 334869.

It is an arithmetic number, because the mean of its divisors is an integer number (1334267207).

Almost surely, 248012734304 is an apocalyptic number.

It is an amenable number.

48012734304 is an abundant number, since it is smaller than the sum of its proper divisors (96088124052).

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

48012734304 is a wasteful number, since it uses less digits than its factorization.

48012734304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461857 (or 461827 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 48012734304 in words is "forty-eight billion, twelve million, seven hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 361 456 608 684 722 912 1083 1368 1444 1824 2166 2736 2888 3249 4332 5472 5776 6498 8664 11552 12996 17328 25992 34656 51984 103968 461803 923606 1385409 1847212 2770818 3694424 4156227 5541636 7388848 8312454 8774257 11083272 14777696 16624908 17548514 22166544 26322771 33249816 35097028 44333088 52645542 66499632 70194056 78968313 105291084 132999264 140388112 157936626 166710883 210582168 280776224 315873252 333421766 421164336 500132649 631746504 666843532 842328672 1000265298 1263493008 1333687064 1500397947 2000530596 2526986016 2667374128 3000795894 4001061192 5334748256 6001591788 8002122384 12003183576 16004244768 24006367152 48012734304