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10423820880 = 2433511239883
BaseRepresentation
bin10011011010100111…
…01110001001010000
3222220110020222002000
421231103232021100
5132321444232010
64442202354000
7516212005224
oct115523561120
928813228060
1010423820880
114469a7aa00
12202aabb900
13ca174c365
1470c568784
154101c97c0
hex26d4ee250

10423820880 has 240 divisors, whose sum is σ = 39466015680. Its totient is φ = 2526923520.

The previous prime is 10423820879. The next prime is 10423820947. The reversal of 10423820880 is 8802832401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×104238208803 (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241419 + ... + 281301.

It is an arithmetic number, because the mean of its divisors is an integer number (164441732).

Almost surely, 210423820880 is an apocalyptic number.

10423820880 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 10423820880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19733007840).

10423820880 is an abundant number, since it is smaller than the sum of its proper divisors (29042194800).

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

10423820880 is a wasteful number, since it uses less digits than its factorization.

10423820880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39927 (or 39904 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 10423820880 in words is "ten billion, four hundred twenty-three million, eight hundred twenty thousand, eight hundred eighty".