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53328684528 = 2433723337559
BaseRepresentation
bin110001101010101000…
…110010010111110000
312002122120022212101000
4301222220302113300
51333204120401103
640255430442000
73565351224240
oct615250622760
9162576285330
1053328684528
1120686719aa9
12a403803300
13504b586342
14281c855b20
1515c1c11aa3
hexc6aa325f0

53328684528 has 160 divisors (see below), whose sum is σ = 175038796800. Its totient is φ = 15228221184.

The previous prime is 53328684517. The next prime is 53328684529. The reversal of 53328684528 is 82548682335.

It is a happy number.

53328684528 is a `hidden beast` number, since 5 + 3 + 32 + 8 + 6 + 84 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53328684529) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7051213 + ... + 7058771.

It is an arithmetic number, because the mean of its divisors is an integer number (1093992480).

Almost surely, 253328684528 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 53328684528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87519398400).

53328684528 is an abundant number, since it is smaller than the sum of its proper divisors (121710112272).

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

53328684528 is a wasteful number, since it uses less digits than its factorization.

53328684528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9916 (or 9904 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 53328684528 in words is "fifty-three billion, three hundred twenty-eight million, six hundred eighty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 2333 3024 4666 6999 7559 9332 13998 15118 16331 18664 20997 22677 27996 30236 32662 37328 41994 45354 48993 52913 55992 60472 62991 65324 68031 83988 90708 97986 105826 111984 120944 125982 130648 136062 146979 158739 167976 181416 195972 204093 211652 251964 261296 272124 293958 317478 335952 362832 391944 408186 423304 440937 476217 503928 544248 587916 634956 783888 816372 846608 881874 952434 1007856 1088496 1175832 1269912 1428651 1632744 1763748 1904868 2351664 2539824 2857302 3265488 3527496 3809736 5714604 7054992 7619472 11429208 17635147 22858416 35270294 52905441 70540588 105810882 123446029 141081176 158716323 211621764 246892058 282162352 317432646 370338087 423243528 476148969 493784116 634865292 740676174 846487056 952297938 987568232 1111014261 1269730584 1481352348 1904595876 1975136464 2222028522 2539461168 2962704696 3333042783 3809191752 4444057044 5925409392 6666085566 7618383504 8888114088 13332171132 17776228176 26664342264 53328684528