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53255635328 = 277476132063
BaseRepresentation
bin110001100110010010…
…001000000110000000
312002110110212120201002
4301212102020012000
51333031420312303
640244301031132
73563503300640
oct614622100600
9162413776632
1053255635328
1120649466065
12a3a32554a8
1350393ba96c
142812c7c520
1515ba5d2788
hexc66488180

53255635328 has 128 divisors (see below), whose sum is σ = 124093624320. Its totient is φ = 22290978816.

The previous prime is 53255635291. The next prime is 53255635337. The reversal of 53255635328 is 82353655235.

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 (47).

It is a congruent number.

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, 25813625 + ... + 25815687.

It is an arithmetic number, because the mean of its divisors is an integer number (969481440).

Almost surely, 253255635328 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 53255635328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62046812160).

53255635328 is an abundant number, since it is smaller than the sum of its proper divisors (70837988992).

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

53255635328 is a wasteful number, since it uses less digits than its factorization.

53255635328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2732 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 47.

The spelling of 53255635328 in words is "fifty-three billion, two hundred fifty-five million, six hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 329 376 448 613 658 752 896 1226 1316 1504 2063 2452 2632 3008 4126 4291 4904 5264 6016 8252 8582 9808 10528 14441 16504 17164 19616 21056 28811 28882 33008 34328 39232 42112 57622 57764 66016 68656 78464 96961 115244 115528 132032 137312 193922 201677 230488 231056 264064 274624 387844 403354 460976 462112 549248 678727 775688 806708 921952 924224 1264619 1357454 1551376 1613416 1843904 1848448 2529238 2714908 3102752 3226832 3687808 5058476 5429816 6205504 6453664 8852333 10116952 10859632 12411008 12907328 17704666 20233904 21719264 25814656 35409332 40467808 43438528 59437093 70818664 80935616 86877056 118874186 141637328 161871232 237748372 283274656 416059651 475496744 566549312 832119302 950993488 1133098624 1664238604 1901986976 3328477208 3803973952 6656954416 7607947904 13313908832 26627817664 53255635328