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20384848302 = 23713374124611
BaseRepresentation
bin10010111111000010…
…000001100110101110
31221121122200120212120
4102333002001212232
5313222010121202
613210434013410
71321104231420
oct227702014656
957548616776
1020384848302
118710796275
123b4aa17266
131bcb342820
14db5464810
157e493a0bc
hex4bf0819ae

20384848302 has 128 divisors (see below), whose sum is σ = 52793330688. Its totient is φ = 5103129600.

The previous prime is 20384848283. The next prime is 20384848303.

20384848302 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20384848303) 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 63 ways as a sum of consecutive naturals, for example, 815977 + ... + 840587.

It is an arithmetic number, because the mean of its divisors is an integer number (412447896).

Almost surely, 220384848302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20384848302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26396665344).

20384848302 is an abundant number, since it is smaller than the sum of its proper divisors (32408482386).

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

20384848302 is a wasteful number, since it uses less digits than its factorization.

20384848302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24714.

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 20384848302 in words is "twenty billion, three hundred eighty-four million, eight hundred forty-eight thousand, three hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 41 42 74 78 82 91 111 123 182 222 246 259 273 287 481 518 533 546 574 777 861 962 1066 1443 1517 1554 1599 1722 2886 3034 3198 3367 3731 4551 6734 7462 9102 10101 10619 11193 19721 20202 21238 22386 24611 31857 39442 49222 59163 63714 73833 118326 138047 147666 172277 276094 319943 344554 414141 516831 639886 828282 910607 959829 1009051 1033662 1821214 1919658 2018102 2239601 2731821 3027153 4479202 5463642 6054306 6374249 6718803 7063357 11837891 12748498 13117663 13437606 14126714 19122747 21190071 23675782 26235326 35513673 37334887 38245494 39352989 42380142 71027346 74669774 78705978 82865237 91823641 112004661 165730474 183647282 224009322 248595711 261344209 275470923 485353531 497191422 522688418 550941846 784032627 970707062 1456060593 1568065254 2912121186 3397474717 6794949434 10192424151 20384848302