Search a number
-
+
53531220624 = 24372333372029
BaseRepresentation
bin110001110110101101…
…011001101010010000
312010011200102202122220
4301312231121222100
51334112443024444
640331503501040
73603360603420
oct616655315220
9163150382586
1053531220624
112077aa84402
12a45b5b7780
13508151aa9b
14283b6d8480
1515d48bc619
hexc76b59a90

53531220624 has 160 divisors (see below), whose sum is σ = 159272305920. Its totient is φ = 15176318976.

The previous prime is 53531220623. The next prime is 53531220629. The reversal of 53531220624 is 42602213535.

It is a happy number.

53531220624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (53531220623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26382042 + ... + 26384070.

It is an arithmetic number, because the mean of its divisors is an integer number (995451912).

Almost surely, 253531220624 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 53531220624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79636152960).

53531220624 is an abundant number, since it is smaller than the sum of its proper divisors (105741085296).

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

53531220624 is a wasteful number, since it uses less digits than its factorization.

53531220624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 53531220624 in words is "fifty-three billion, five hundred thirty-one million, two hundred twenty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 233 336 337 466 674 699 932 1011 1348 1398 1631 1864 2022 2029 2359 2696 2796 3262 3728 4044 4058 4718 4893 5392 5592 6087 6524 7077 8088 8116 9436 9786 11184 12174 13048 14154 14203 16176 16232 18872 19572 24348 26096 28308 28406 32464 37744 39144 42609 48696 56616 56812 78288 78521 85218 97392 113232 113624 157042 170436 227248 235563 314084 340872 471126 472757 549647 628168 681744 683773 942252 945514 1099294 1256336 1367546 1418271 1648941 1884504 1891028 2051319 2198588 2735092 2836542 3297882 3309299 3769008 3782056 4102638 4397176 4786411 5470184 5673084 6595764 6618598 7564112 8205276 8794352 9572822 9927897 10940368 11346168 13191528 13237196 14359233 16410552 19145644 19855794 22692336 26383056 26474392 28718466 32821104 38291288 39711588 52948784 57436932 76582576 79423176 114873864 158846352 159319109 229747728 318638218 477957327 637276436 955914654 1115233763 1274552872 1911829308 2230467526 2549105744 3345701289 3823658616 4460935052 6691402578 7647317232 8921870104 13382805156 17843740208 26765610312 53531220624