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53150535936 = 283416012
BaseRepresentation
bin110001100000000001…
…001101000100000000
312002012011002222110000
4301200001031010000
51332323014122221
640230024240000
73561056046501
oct614001150400
9162164088400
1053150535936
11205a5101363
12a374010000
1350206b0084
142802d20ba8
1515b1271e26
hexc6004d100

53150535936 has 135 divisors (see below), whose sum is σ = 158584334293. Its totient is φ = 17705779200.

The previous prime is 53150535931. The next prime is 53150535973. The reversal of 53150535936 is 63953505135.

The square root of 53150535936 is 230544.

It is a perfect power (a square), and thus also a powerful number.

53150535936 is a `hidden beast` number, since 5 + 3 + 1 + 5 + 0 + 53 + 593 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53017825536 + 132710400 = 230256^2 + 11520^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 53150535891 and 53150535900.

It is not an unprimeable number, because it can be changed into a prime (53150535931) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 33197536 + ... + 33199136.

Almost surely, 253150535936 is an apocalyptic number.

53150535936 is the 230544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53150535936

53150535936 is an abundant number, since it is smaller than the sum of its proper divisors (105433798357).

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

53150535936 is an frugal number, since it uses more digits than its factorization.

53150535936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 911250, while the sum is 45.

The spelling of 53150535936 in words is "fifty-three billion, one hundred fifty million, five hundred thirty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1601 1728 2304 2592 3202 3456 4803 5184 6404 6912 9606 10368 12808 14409 19212 20736 25616 28818 38424 43227 51232 57636 76848 86454 102464 115272 129681 153696 172908 204928 230544 259362 307392 345816 409856 461088 518724 614784 691632 922176 1037448 1229568 1383264 1844352 2074896 2563201 2766528 3688704 4149792 5126402 5533056 7689603 8299584 10252804 11066112 15379206 16599168 20505608 23068809 30758412 33198336 41011216 46137618 61516824 69206427 82022432 92275236 123033648 138412854 164044864 184550472 207619281 246067296 276825708 328089728 369100944 415238562 492134592 553651416 656179456 738201888 830477124 984269184 1107302832 1476403776 1660954248 1968538368 2214605664 2952807552 3321908496 4429211328 5905615104 6643816992 8858422656 13287633984 17716845312 26575267968 53150535936