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53141985248 = 25111919939929
BaseRepresentation
bin110001011111100000…
…100101011111100000
312002011120000120002212
4301133200211133200
51332313322011443
640225121101252
73560623264412
oct613740453740
9162146016085
1053141985248
11205a02a1080
12a371187828
13501b9a80b1
142801b369b2
1515b0633618
hexc5f8257e0

53141985248 has 96 divisors (see below), whose sum is σ = 120748320000. Its totient is φ = 22768542720.

The previous prime is 53141985181. The next prime is 53141985293. The reversal of 53141985248 is 84258914135.

53141985248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 53141985196 and 53141985205.

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, 1310948 + ... + 1350876.

It is an arithmetic number, because the mean of its divisors is an integer number (1257795000).

Almost surely, 253141985248 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 53141985248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60374160000).

53141985248 is an abundant number, since it is smaller than the sum of its proper divisors (67606334752).

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

53141985248 is a wasteful number, since it uses less digits than its factorization.

53141985248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40168 (or 40160 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 50.

The spelling of 53141985248 in words is "fifty-three billion, one hundred forty-one million, nine hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 199 209 304 352 398 418 608 796 836 1592 1672 2189 3184 3344 3781 4378 6368 6688 7562 8756 15124 17512 30248 35024 39929 41591 60496 70048 79858 83182 120992 159716 166364 319432 332728 439219 638864 665456 758651 878438 1277728 1330912 1517302 1756876 3034604 3513752 6069208 7027504 7945871 8345161 12138416 14055008 15891742 16690322 24276832 31783484 33380644 63566968 66761288 87404581 127133936 133522576 150971549 174809162 254267872 267045152 301943098 349618324 603886196 699236648 1207772392 1398473296 1660687039 2415544784 2796946592 3321374078 4831089568 6642748156 13285496312 26570992624 53141985248