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53755543400 = 23521345472
BaseRepresentation
bin110010000100000101…
…000111111101101000
312010202022112112122212
4302010011013331220
51340042404342100
640410035504252
73612053402606
oct620405077550
9163668475585
1053755543400
112088566a429
12a502758088
1350b8b3cc60
14285d40c876
1515e942d635
hexc84147f68

53755543400 has 72 divisors (see below), whose sum is σ = 134625218070. Its totient is φ = 19843835520.

The previous prime is 53755543399. The next prime is 53755543409. The reversal of 53755543400 is 434555735.

It can be written as a sum of positive squares in 3 ways, for example, as 29855001796 + 23900541604 = 172786^2 + 154598^2 .

It is not an unprimeable number, because it can be changed into a prime (53755543409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11819927 + ... + 11824473.

Almost surely, 253755543400 is an apocalyptic number.

53755543400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53755543400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67312609035).

53755543400 is an abundant number, since it is smaller than the sum of its proper divisors (80869674670).

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

53755543400 is an equidigital number, since it uses as much as digits as its factorization.

53755543400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9123 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 41.

The spelling of 53755543400 in words is "fifty-three billion, seven hundred fifty-five million, five hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 4547 9094 18188 22735 36376 45470 59111 90940 113675 118222 181880 227350 236444 295555 454700 472888 591110 909400 1182220 1477775 2364440 2955550 5911100 11822200 20675209 41350418 82700836 103376045 165401672 206752090 268777717 413504180 516880225 537555434 827008360 1033760450 1075110868 1343888585 2067520900 2150221736 2687777170 4135041800 5375554340 6719442925 10751108680 13438885850 26877771700 53755543400