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10004623696 = 242937956891
BaseRepresentation
bin10010101000101001…
…00111000101010000
3221211020110112122101
421110110213011100
5130442140424241
64332425450144
7502631620054
oct112424470520
927736415571
1010004623696
114274392951
121b32640954
13c35948ba2
146aca07c64
153d84c2e31
hex254527150

10004623696 has 40 divisors (see below), whose sum is σ = 20105632800. Its totient is φ = 4816990080.

The previous prime is 10004623691. The next prime is 10004623721. The reversal of 10004623696 is 69632640001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004623691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147411 + ... + 204301.

It is an arithmetic number, because the mean of its divisors is an integer number (502640820).

Almost surely, 210004623696 is an apocalyptic number.

10004623696 is a gapful number since it is divisible by the number (16) 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 10004623696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10052816400).

10004623696 is an abundant number, since it is smaller than the sum of its proper divisors (10101009104).

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

10004623696 is a wasteful number, since it uses less digits than its factorization.

10004623696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57307 (or 57301 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 10004623696 in words is "ten billion, four million, six hundred twenty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 29 58 116 232 379 464 758 1516 3032 6064 10991 21982 43964 56891 87928 113782 175856 227564 455128 910256 1649839 3299678 6599356 13198712 21561689 26397424 43123378 86246756 172493512 344987024 625288981 1250577962 2501155924 5002311848 10004623696