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20242401024 = 2831713711317
BaseRepresentation
bin10010110110100010…
…101000011100000000
31221020201122111221110
4102312202220130000
5312424023313044
613144344523320
71314424366266
oct226642503400
957221574843
1020242401024
11864834254a
123b0b180540
131ba79895b1
14da0584436
157d719d6b9
hex4b68a8700

20242401024 has 144 divisors (see below), whose sum is σ = 57464836128. Its totient is φ = 6303645696.

The previous prime is 20242400999. The next prime is 20242401031. The reversal of 20242401024 is 42010424202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1783014 + ... + 1794330.

It is an arithmetic number, because the mean of its divisors is an integer number (399061362).

Almost surely, 220242401024 is an apocalyptic number.

20242401024 is a gapful number since it is divisible by the number (24) 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 20242401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28732418064).

20242401024 is an abundant number, since it is smaller than the sum of its proper divisors (37222435104).

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

20242401024 is a wasteful number, since it uses less digits than its factorization.

20242401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11490 (or 11476 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 20242401024 its reverse (42010424202), we get a palindrome (62252825226).

The spelling of 20242401024 in words is "twenty billion, two hundred forty-two million, four hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 137 192 204 256 272 274 384 408 411 544 548 768 816 822 1088 1096 1632 1644 2176 2192 2329 3264 3288 4352 4384 4658 6528 6576 6987 8768 9316 11317 13056 13152 13974 17536 18632 22634 26304 27948 33951 35072 37264 45268 52608 55896 67902 74528 90536 105216 111792 135804 149056 181072 192389 223584 271608 298112 362144 384778 447168 543216 577167 596224 724288 769556 894336 1086432 1154334 1448576 1539112 1550429 1788672 2172864 2308668 2897152 3078224 3100858 4345728 4617336 4651287 6156448 6201716 8691456 9234672 9302574 12312896 12403432 18469344 18605148 24625792 24806864 26357293 36938688 37210296 49251584 49613728 52714586 73877376 74420592 79071879 99227456 105429172 147754752 148841184 158143758 198454912 210858344 297682368 316287516 396909824 421716688 595364736 632575032 843433376 1190729472 1265150064 1686866752 2530300128 3373733504 5060600256 6747467008 10121200512 20242401024