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53458860256 = 2519236595801
BaseRepresentation
bin110001110010011001…
…010111100011100000
312002222122021110220021
4301302121113203200
51333440432012011
640320400523224
73601521546304
oct616231274340
9162878243807
1053458860256
1120743150a4a
12a43b320514
13506c533ab9
142831c5dd04
1515cd377471
hexc726578e0

53458860256 has 96 divisors (see below), whose sum is σ = 115798636800. Its totient is φ = 24180710400.

The previous prime is 53458860251. The next prime is 53458860289. The reversal of 53458860256 is 65206885435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53458860251) 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 15 ways as a sum of consecutive naturals, for example, 9212556 + ... + 9218356.

It is an arithmetic number, because the mean of its divisors is an integer number (1206235800).

Almost surely, 253458860256 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 53458860256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57899318400).

53458860256 is an abundant number, since it is smaller than the sum of its proper divisors (62339776544).

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

53458860256 is a wasteful number, since it uses less digits than its factorization.

53458860256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 52.

The spelling of 53458860256 in words is "fifty-three billion, four hundred fifty-eight million, eight hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 608 659 736 874 1318 1748 2636 3496 5272 5801 6992 10544 11602 12521 13984 15157 21088 23204 25042 30314 46408 50084 60628 92816 100168 110219 121256 133423 185632 200336 220438 242512 266846 287983 400672 440876 485024 533692 575966 881752 1067384 1151932 1763504 2134768 2303864 2535037 3527008 3822859 4269536 4607728 5070074 7645718 9215456 10140148 15291436 20280296 30582872 40560592 61165744 72634321 81121184 87925757 122331488 145268642 175851514 290537284 351703028 581074568 703406056 1162149136 1406812112 1670589383 2324298272 2813624224 3341178766 6682357532 13364715064 26729430128 53458860256