Search a number
-
+
10049487360 = 293511472531
BaseRepresentation
bin10010101101111111…
…10000001000000000
3221221100212212000120
421112333300020000
5131040132043420
64341111220240
7504015142653
oct112677601000
927840785016
1010049487360
114297745660
121b45677680
13c42026433
146b496589a
153dc3d5d40
hex256ff0200

10049487360 has 320 divisors, whose sum is σ = 35807422464. Its totient is φ = 2383462400.

The previous prime is 10049487337. The next prime is 10049487361. The reversal of 10049487360 is 6378494001.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (10049487361) 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, 3969295 + ... + 3971825.

Almost surely, 210049487360 is an apocalyptic number.

10049487360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10049487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17903711232).

10049487360 is an abundant number, since it is smaller than the sum of its proper divisors (25757935104).

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

10049487360 is a wasteful number, since it uses less digits than its factorization.

10049487360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 10049487360 in words is "ten billion, forty-nine million, four hundred eighty-seven thousand, three hundred sixty".