Search a number
-
+
20978073688 = 231113160711411
BaseRepresentation
bin10011100010011001…
…000000000001011000
32000010222221120010011
4103202121000001120
5320430341324223
613345344531304
71341566453455
oct234231000130
960128846104
1020978073688
118995637290
124095620b34
131c94208970
14103016682c
1582ba6a80d
hex4e2640058

20978073688 has 64 divisors (see below), whose sum is σ = 46243249920. Its totient is φ = 8795740800.

The previous prime is 20978073673. The next prime is 20978073707. The reversal of 20978073688 is 88637087902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1832703 + ... + 1844113.

It is an arithmetic number, because the mean of its divisors is an integer number (722550780).

Almost surely, 220978073688 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 20978073688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23121624960).

20978073688 is an abundant number, since it is smaller than the sum of its proper divisors (25265176232).

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

20978073688 is a wasteful number, since it uses less digits than its factorization.

20978073688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13048 (or 13044 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 58.

The spelling of 20978073688 in words is "twenty billion, nine hundred seventy-eight million, seventy-three thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 1607 3214 6428 11411 12856 17677 20891 22822 35354 41782 45644 70708 83564 91288 125521 141416 148343 167128 229801 251042 296686 459602 502084 593372 919204 1004168 1186744 1631773 1838408 3263546 6527092 13054184 18337477 36674954 73349908 146699816 201712247 238387201 403424494 476774402 806848988 953548804 1613697976 1907097608 2622259211 5244518422 10489036844 20978073688