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53075780334 = 23347151138493
BaseRepresentation
bin110001011011100100…
…000010001011101110
312001222221110000001000
4301123210002023232
51332144344432314
640214354101130
73556160455233
oct613344021356
9161887400030
1053075780334
1120566992375
12a352b7a7a6
13500b067aa5
1427d702178a
1515a9907209
hexc5b9022ee

53075780334 has 64 divisors (see below), whose sum is σ = 121254266880. Its totient is φ = 17200706400.

The previous prime is 53075780333. The next prime is 53075780431. The reversal of 53075780334 is 43308757035.

53075780334 is a `hidden beast` number, since 5 + 307 + 5 + 7 + 8 + 0 + 334 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 53075780334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53075780333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313992 + ... + 452484.

It is an arithmetic number, because the mean of its divisors is an integer number (1894597920).

Almost surely, 253075780334 is an apocalyptic number.

53075780334 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53075780334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60627133440).

53075780334 is an abundant number, since it is smaller than the sum of its proper divisors (68178486546).

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

53075780334 is a wasteful number, since it uses less digits than its factorization.

53075780334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138702 (or 138696 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 53075780334 in words is "fifty-three billion, seventy-five million, seven hundred eighty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 151 282 302 423 453 846 906 1269 1359 2538 2718 4077 7097 8154 14194 21291 42582 63873 127746 138493 191619 276986 383238 415479 830958 1246437 2492874 3739311 6509171 7478622 13018342 19527513 20912443 39055026 41824886 58582539 62737329 117165078 125474658 175747617 188211987 351495234 376423974 564635961 982884821 1129271922 1965769642 2948654463 5897308926 8845963389 17691926778 26537890167 53075780334