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53120788448 = 257133107941
BaseRepresentation
bin110001011110001111…
…101110011111100000
312002010002010122120012
4301132033232133200
51332242410212243
640223042504052
73560245152230
oct613617563740
9162102118505
1053120788448
112058a333662
12a366065028
135017496000
1427dcdb9cc0
1515ad847d18
hexc5e3ee7e0

53120788448 has 96 divisors (see below), whose sum is σ = 129478587840. Its totient is φ = 21014622720.

The previous prime is 53120788421. The next prime is 53120788453. The reversal of 53120788448 is 84488702135.

It is a junction number, because it is equal to n+sod(n) for n = 53120788396 and 53120788405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438158 + ... + 546098.

It is an arithmetic number, because the mean of its divisors is an integer number (1348735290).

Almost surely, 253120788448 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 53120788448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64739293920).

53120788448 is an abundant number, since it is smaller than the sum of its proper divisors (76357799392).

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

53120788448 is a wasteful number, since it uses less digits than its factorization.

53120788448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107997 (or 107963 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 50.

The spelling of 53120788448 in words is "fifty-three billion, one hundred twenty million, seven hundred eighty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 208 224 338 364 416 676 728 1183 1352 1456 2197 2366 2704 2912 4394 4732 5408 8788 9464 15379 17576 18928 30758 35152 37856 61516 70304 107941 123032 215882 246064 431764 492128 755587 863528 1403233 1511174 1727056 2806466 3022348 3454112 5612932 6044696 9822631 11225864 12089392 18242029 19645262 22451728 24178784 36484058 39290524 44903456 72968116 78581048 127694203 145936232 157162096 237146377 255388406 291872464 314324192 474292754 510776812 583744928 948585508 1021553624 1660024639 1897171016 2043107248 3320049278 3794342032 4086214496 6640098556 7588684064 13280197112 26560394224 53120788448