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10463695616 = 281113072843
BaseRepresentation
bin10011011111010111…
…10101001100000000
31000000020021210221002
421233223311030000
5132412201224431
64450145151132
7520204642133
oct115753651400
930006253832
1010463695616
11448a535430
12204032b4a8
13ca9aa0b8a
1471398821a
154139543cb
hex26faf5300

10463695616 has 72 divisors (see below), whose sum is σ = 22810745664. Its totient is φ = 4750914560.

The previous prime is 10463695603. The next prime is 10463695643. The reversal of 10463695616 is 61659636401.

10463695616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3679091 + ... + 3681933.

It is an arithmetic number, because the mean of its divisors is an integer number (316815912).

Almost surely, 210463695616 is an apocalyptic number.

10463695616 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 10463695616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11405372832).

10463695616 is an abundant number, since it is smaller than the sum of its proper divisors (12347050048).

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

10463695616 is a wasteful number, since it uses less digits than its factorization.

10463695616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 47.

The spelling of 10463695616 in words is "ten billion, four hundred sixty-three million, six hundred ninety-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1307 1408 2614 2816 2843 5228 5686 10456 11372 14377 20912 22744 28754 31273 41824 45488 57508 62546 83648 90976 115016 125092 167296 181952 230032 250184 334592 363904 460064 500368 727808 920128 1000736 1840256 2001472 3680512 3715801 4002944 7431602 8005888 14863204 29726408 40873811 59452816 81747622 118905632 163495244 237811264 326990488 475622528 653980976 951245056 1307961952 2615923904 5231847808 10463695616