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63320202336 = 2537313965003
BaseRepresentation
bin111010111110001011…
…011001110001100000
320001102220010120010010
4322332023121301200
52014134432433321
645031111404520
74401063560616
oct727613316140
9201386116103
1063320202336
1124943670236
1210331983740
135c81593a61
1430c980b6b6
1519a8e96676
hexebe2d9c60

63320202336 has 96 divisors (see below), whose sum is σ = 169707242880. Its totient is φ = 20667515904.

The previous prime is 63320202331. The next prime is 63320202343.

63320202336 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63320202331) 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 15 ways as a sum of consecutive naturals, for example, 941611 + ... + 1006613.

It is an arithmetic number, because the mean of its divisors is an integer number (1767783780).

Almost surely, 263320202336 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 63320202336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84853621440).

63320202336 is an abundant number, since it is smaller than the sum of its proper divisors (106387040544).

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

63320202336 is a wasteful number, since it uses less digits than its factorization.

63320202336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65228 (or 65220 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

The spelling of 63320202336 in words is "sixty-three billion, three hundred twenty million, two hundred two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 139 146 219 278 292 417 438 556 584 834 876 1112 1168 1668 1752 2224 2336 3336 3504 4448 6672 7008 10147 13344 20294 30441 40588 60882 65003 81176 121764 130006 162352 195009 243528 260012 324704 390018 487056 520024 780036 974112 1040048 1560072 2080096 3120144 4745219 6240288 9035417 9490438 14235657 18070834 18980876 27106251 28471314 36141668 37961752 54212502 56942628 72283336 75923504 108425004 113885256 144566672 151847008 216850008 227770512 289133344 433700016 455541024 659585441 867400032 1319170882 1978756323 2638341764 3957512646 5276683528 7915025292 10553367056 15830050584 21106734112 31660101168 63320202336