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53757204736 = 284323372
BaseRepresentation
bin110010000100001011…
…011101100100000000
312010202102122221120211
4302010023131210000
51340043321022421
640410135243504
73612103462264
oct620413354400
9163672587524
1053757204736
11208865a4634
12a503219594
1350b92a21b1
14285d7220a4
1515e965a9e1
hexc842dd900

53757204736 has 81 divisors (see below), whose sum is σ = 110184860961. Its totient is φ = 26175614976.

The previous prime is 53757204707. The next prime is 53757204737. The reversal of 53757204736 is 63740275735.

The square root of 53757204736 is 231856.

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

It can be written as a sum of positive squares in only one way, i.e., 14496160000 + 39261044736 = 120400^2 + 198144^2 .

It is a super-2 number, since 2×537572047362 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53757204736.

It is not an unprimeable number, because it can be changed into a prime (53757204737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 159516760 + ... + 159517096.

Almost surely, 253757204736 is an apocalyptic number.

53757204736 is the 231856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53757204736

53757204736 is an abundant number, since it is smaller than the sum of its proper divisors (56427656225).

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

53757204736 is an frugal number, since it uses more digits than its factorization.

53757204736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 49.

Multiplying 53757204736 by its sum of digits (49), we get a square (2634103032064 = 16229922).

The spelling of 53757204736 in words is "fifty-three billion, seven hundred fifty-seven million, two hundred four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 337 344 674 688 1348 1376 1849 2696 2752 3698 5392 5504 7396 10784 11008 14491 14792 21568 28982 29584 43136 57964 59168 86272 113569 115928 118336 227138 231856 236672 454276 463712 473344 623113 908552 927424 1246226 1817104 1854848 2492452 3634208 3709696 4883467 4984904 7268416 9766934 9969808 14536832 19533868 19939616 29073664 39067736 39879232 78135472 79758464 156270944 159516928 209989081 312541888 419978162 625083776 839956324 1250167552 1679912648 3359825296 6719650592 13439301184 26878602368 53757204736