Search a number
-
+
10044072384 = 263373140249
BaseRepresentation
bin10010101101010110…
…00110000111000000
3221220222200202001220
421112223012013000
5131032240304014
64340355155040
7503621130603
oct112653060700
927828622056
1010044072384
114294687275
121b438a5a80
13c40b7b7c8
146b3d5633a
153dbbb66a9
hex256ac61c0

10044072384 has 56 divisors (see below), whose sum is σ = 26646378000. Its totient is φ = 3339024384.

The previous prime is 10044072343. The next prime is 10044072427. The reversal of 10044072384 is 48327044001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1492 + ... + 141740.

Almost surely, 210044072384 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 10044072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13323189000).

10044072384 is an abundant number, since it is smaller than the sum of its proper divisors (16602305616).

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

10044072384 is a wasteful number, since it uses less digits than its factorization.

10044072384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140637 (or 140627 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 10044072384 in words is "ten billion, forty-four million, seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 373 746 1119 1492 2238 2984 4476 5968 8952 11936 17904 23872 35808 71616 140249 280498 420747 560996 841494 1121992 1682988 2243984 3365976 4487968 6731952 8975936 13463904 26927808 52312877 104625754 156938631 209251508 313877262 418503016 627754524 837006032 1255509048 1674012064 2511018096 3348024128 5022036192 10044072384