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10949783040 = 29335725361
BaseRepresentation
bin10100011001010100…
…00110111000000000
31001021002221121112000
422030222012320000
5134411121024130
65010311504000
7535226422500
oct121452067000
931232847460
1010949783040
11470995a079
122157088000
1310566c4581
1475c35ba00
15441470260
hex28ca86e00

10949783040 has 960 divisors, whose sum is σ = 46854054720. Its totient is φ = 2415329280.

The previous prime is 10949782981. The next prime is 10949783057. The reversal of 10949783040 is 4038794901.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179504610 + ... + 179504670.

It is an arithmetic number, because the mean of its divisors is an integer number (48806307).

Almost surely, 210949783040 is an apocalyptic number.

10949783040 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 10949783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23427027360).

10949783040 is an abundant number, since it is smaller than the sum of its proper divisors (35904271680).

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

10949783040 is an equidigital number, since it uses as much as digits as its factorization.

10949783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10949783040 in words is "ten billion, nine hundred forty-nine million, seven hundred eighty-three thousand, forty".