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10423504728 = 233271319313773
BaseRepresentation
bin10011011010100101…
…00000111101011000
3222220102122220101200
421231102200331120
5132321404122403
64442151514200
7516206220420
oct115522407530
928812586350
1010423504728
11446988441a
12202a988960
13ca166b4a0
1470c4c5480
15410165ca3
hex26d4a0f58

10423504728 has 768 divisors, whose sum is σ = 39305011200. Its totient is φ = 2418647040.

The previous prime is 10423504727. The next prime is 10423504733. The reversal of 10423504728 is 82740532401.

It is a happy number.

10423504728 is a `hidden beast` number, since 104 + 23 + 504 + 7 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10423504692 and 10423504701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10423504727) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142787700 + ... + 142787772.

It is an arithmetic number, because the mean of its divisors is an integer number (51178400).

Almost surely, 210423504728 is an apocalyptic number.

10423504728 is a gapful number since it is divisible by the number (18) 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 10423504728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19652505600).

10423504728 is an abundant number, since it is smaller than the sum of its proper divisors (28881506472).

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

10423504728 is a wasteful number, since it uses less digits than its factorization.

10423504728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 10423504728 in words is "ten billion, four hundred twenty-three million, five hundred four thousand, seven hundred twenty-eight".