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10604425440 = 2535731611669
BaseRepresentation
bin10011110000001001…
…01011000011100000
31000101001002121221210
421320010223003200
5133204213103230
64512133350120
7523534062150
oct117004530340
930331077853
1010604425440
114551a15874
12207b498340
13cccca546b
1472853c760
15420ea1eb0
hex27812b0e0

10604425440 has 384 divisors, whose sum is σ = 40077434880. Its totient is φ = 2305843200.

The previous prime is 10604425421. The next prime is 10604425453. The reversal of 10604425440 is 4452440601.

It is a happy number.

It is a super-2 number, since 2×106044254402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10604425398 and 10604425407.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6352926 + ... + 6354594.

It is an arithmetic number, because the mean of its divisors is an integer number (104368320).

Almost surely, 210604425440 is an apocalyptic number.

10604425440 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 10604425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20038717440).

10604425440 is an abundant number, since it is smaller than the sum of its proper divisors (29473009440).

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

10604425440 is a wasteful number, since it uses less digits than its factorization.

10604425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 10604425440 in words is "ten billion, six hundred four million, four hundred twenty-five thousand, four hundred forty".