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20304525332 = 22721319795309
BaseRepresentation
bin10010111010001111…
…100111100000010100
31221102001112202110202
4102322033213200110
5313040424302312
613154444240032
71316110421600
oct227217474024
957361482422
1020304525332
11867a414453
123b27b40018
131bb77cb440
14da8916500
157dc8709c2
hex4ba3e7814

20304525332 has 144 divisors (see below), whose sum is σ = 47458656000. Its totient is φ = 7512051456.

The previous prime is 20304525277. The next prime is 20304525337. The reversal of 20304525332 is 23352540302.

It is a junction number, because it is equal to n+sod(n) for n = 20304525295 and 20304525304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20304525337) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3821894 + ... + 3827202.

It is an arithmetic number, because the mean of its divisors is an integer number (329574000).

Almost surely, 220304525332 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 20304525332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23729328000).

20304525332 is an abundant number, since it is smaller than the sum of its proper divisors (27154130668).

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

20304525332 is a wasteful number, since it uses less digits than its factorization.

20304525332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 29.

The spelling of 20304525332 in words is "twenty billion, three hundred four million, five hundred twenty-five thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 79 91 98 133 158 182 196 247 266 316 364 494 532 553 637 931 988 1027 1106 1274 1501 1729 1862 2054 2212 2548 3002 3458 3724 3871 4108 5309 6004 6916 7189 7742 10507 10618 12103 14378 15484 19513 21014 21236 24206 28756 37163 39026 42028 48412 50323 69017 73549 74326 78052 100646 100871 136591 138034 147098 148652 201292 201742 260141 273182 276068 294196 403484 419411 483119 520282 546364 706097 838822 956137 966238 1040564 1311323 1412194 1677644 1912274 1932476 2622646 2824388 2935877 3381833 3824548 4942679 5245292 5452343 5871754 6763666 7968809 9179261 9885358 10904686 11743508 13527332 15937618 18358522 19770716 20551139 21809372 31875236 36717044 38166401 41102278 55781663 64254827 76332802 82204556 103594517 111563326 128509654 152665604 207189034 223126652 257019308 267164807 390471641 414378068 534329614 725161619 780943282 1068659228 1450323238 1561886564 2900646476 5076131333 10152262666 20304525332