Search a number
-
+
50161665024 = 2103223332
BaseRepresentation
bin101110101101110111…
…100100010000000000
311210110212000121100100
4232231313210100000
51310212341240044
635013254322400
73424024055232
oct565567442000
9153425017310
1050161665024
111a300a52409
12987b059400
1349653c42c3
1425dbdb4252
151488b7a869
hexbadde4400

50161665024 has 99 divisors (see below), whose sum is σ = 144902829253. Its totient is φ = 16713388032.

The previous prime is 50161665019. The next prime is 50161665031. The reversal of 50161665024 is 42056616105.

The square root of 50161665024 is 223968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17171481600 + 32990183424 = 131040^2 + 181632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 50161665024.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21499762 + ... + 21502094.

Almost surely, 250161665024 is an apocalyptic number.

50161665024 is the 223968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50161665024

50161665024 is an abundant number, since it is smaller than the sum of its proper divisors (94741164229).

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

50161665024 is an frugal number, since it uses more digits than its factorization.

50161665024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 50161665024 by its sum of digits (36), we get a square (1805819940864 = 13438082).

50161665024 divided by its sum of digits (36) gives a square (1393379584 = 373282).

The spelling of 50161665024 in words is "fifty billion, one hundred sixty-one million, six hundred sixty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 2333 3072 4608 4666 6999 9216 9332 13998 18664 20997 27996 37328 41994 55992 74656 83988 111984 149312 167976 223968 298624 335952 447936 597248 671904 895872 1194496 1343808 1791744 2388992 2687616 3583488 5375232 5442889 7166976 10750464 10885778 16328667 21500928 21771556 32657334 43543112 48986001 65314668 87086224 97972002 130629336 174172448 195944004 261258672 348344896 391888008 522517344 696689792 783776016 1045034688 1393379584 1567552032 2090069376 2786759168 3135104064 4180138752 5573518336 6270208128 8360277504 12540416256 16720555008 25080832512 50161665024