Search a number
-
+
10869381120 = 2113513171601
BaseRepresentation
bin10100001111101110…
…11001100000000000
31001001111122202211010
422013313121200000
5134230030143440
64554320320520
7533232133533
oct120767314000
931044582733
1010869381120
114678533a04
122134173140
131042b53280
147517cca1a
1543938c580
hex287dd9800

10869381120 has 384 divisors, whose sum is σ = 39676029120. Its totient is φ = 2516582400.

The previous prime is 10869381097. The next prime is 10869381157. The reversal of 10869381120 is 2118396801.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6788320 + ... + 6789920.

Almost surely, 210869381120 is an apocalyptic number.

10869381120 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 10869381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19838014560).

10869381120 is an abundant number, since it is smaller than the sum of its proper divisors (28806648000).

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

10869381120 is a wasteful number, since it uses less digits than its factorization.

10869381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 10869381120 in words is "ten billion, eight hundred sixty-nine million, three hundred eighty-one thousand, one hundred twenty".