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53528288256 = 2103231187361
BaseRepresentation
bin110001110110100010…
…001101110000000000
312010011110220210012200
4301312202031300000
51334111220211011
640331320553200
73603323641302
oct616642156000
9163143823180
1053528288256
1120779361263
12a45a622800
135080a32161
14283b173972
1515d44dd856
hexc7688dc00

53528288256 has 132 divisors (see below), whose sum is σ = 159548485824. Its totient is φ = 17267097600.

The previous prime is 53528288243. The next prime is 53528288267. The reversal of 53528288256 is 65288282535.

53528288256 is a `hidden beast` number, since 5 + 35 + 282 + 88 + 256 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192016 + ... + 379376.

Almost surely, 253528288256 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 53528288256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79774242912).

53528288256 is an abundant number, since it is smaller than the sum of its proper divisors (106020197568).

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

53528288256 is a wasteful number, since it uses less digits than its factorization.

53528288256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187418 (or 187397 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 54.

The spelling of 53528288256 in words is "fifty-three billion, five hundred twenty-eight million, two hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2232 2304 2976 3072 3968 4464 4608 5952 7936 8928 9216 11904 15872 17856 23808 31744 35712 47616 71424 95232 142848 187361 285696 374722 562083 749444 1124166 1498888 1686249 2248332 2997776 3372498 4496664 5808191 5995552 6744996 8993328 11616382 11991104 13489992 17424573 17986656 23232764 23982208 26979984 34849146 35973312 46465528 47964416 52273719 53959968 69698292 71946624 92931056 95928832 104547438 107919936 139396584 143893248 185862112 191857664 209094876 215839872 278793168 287786496 371724224 418189752 431679744 557586336 575572992 743448448 836379504 863359488 1115172672 1486896896 1672759008 1726718976 2230345344 2973793792 3345518016 4460690688 5947587584 6691036032 8921381376 13382072064 17842762752 26764144128 53528288256