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10430477248 = 263117330389
BaseRepresentation
bin10011011011011010…
…00111001111000000
3222220220210010220011
421231231013033000
5132330200232443
64443001154304
7516322410442
oct115555071700
928826703804
1010430477248
114472806a34
12203118b994
13ca2c40039
1470d3bc492
15410a91b9d
hex26db473c0

10430477248 has 56 divisors (see below), whose sum is σ = 21489863040. Its totient is φ = 5017666560.

The previous prime is 10430477237. The next prime is 10430477251. The reversal of 10430477248 is 84277403401.

10430477248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10430477248.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328038 + ... + 358426.

Almost surely, 210430477248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10430477248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10744931520).

10430477248 is an abundant number, since it is smaller than the sum of its proper divisors (11059385792).

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

10430477248 is a wasteful number, since it uses less digits than its factorization.

10430477248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30605 (or 30595 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The spelling of 10430477248 in words is "ten billion, four hundred thirty million, four hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 173 248 346 496 692 992 1384 1984 2768 5363 5536 10726 11072 21452 30389 42904 60778 85808 121556 171616 243112 343232 486224 942059 972448 1884118 1944896 3768236 5257297 7536472 10514594 15072944 21029188 30145888 42058376 60291776 84116752 162976207 168233504 325952414 336467008 651904828 1303809656 2607619312 5215238624 10430477248