Search a number
-
+
10425331616 = 257192449561
BaseRepresentation
bin10011011010110010…
…11110111110100000
3222220120002201102012
421231121132332200
5132322341102431
64442255012052
7516230566550
oct115531367640
928816081365
1010425331616
11446a911a47
12202b50a028
13ca1b5ab9b
1470c83d160
154103c722b
hex26d65efa0

10425331616 has 48 divisors (see below), whose sum is σ = 24691584960. Its totient is φ = 4232839680.

The previous prime is 10425331613. The next prime is 10425331633. The reversal of 10425331616 is 61613352401.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (10425331613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1220525 + ... + 1229036.

It is an arithmetic number, because the mean of its divisors is an integer number (514408020).

Almost surely, 210425331616 is an apocalyptic number.

10425331616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10425331616 is an abundant number, since it is smaller than the sum of its proper divisors (14266253344).

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

10425331616 is a wasteful number, since it uses less digits than its factorization.

10425331616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449597 (or 2449589 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 10425331616 in words is "ten billion, four hundred twenty-five million, three hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 2449561 4899122 9798244 17146927 19596488 34293854 39192976 46541659 68587708 78385952 93083318 137175416 186166636 274350832 325791613 372333272 548701664 651583226 744666544 1303166452 1489333088 2606332904 5212665808 10425331616