Search a number
-
+
20594314110496 = 2572472231253137
BaseRepresentation
bin1001010111010111111001…
…10001101110011000100000
32200220210112011022110001211
410223223330301232120200
510144404123403013441
6111444521452035504
74223614205430400
oct453537461563040
980823464273054
1020594314110496
11661aaaa4716a5
122387396162b94
13b6505cc73a89
14512aad2da800
1525aa8a965a81
hex12bafcc6e620

20594314110496 has 144 divisors (see below), whose sum is σ = 48384199535616. Its totient is φ = 8599600687104.

The previous prime is 20594314110421. The next prime is 20594314110511. The reversal of 20594314110496 is 69401141349502.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15807640 + ... + 17060776.

It is an arithmetic number, because the mean of its divisors is an integer number (336001385664).

Almost surely, 220594314110496 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 20594314110496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192099767808).

20594314110496 is an abundant number, since it is smaller than the sum of its proper divisors (27789885425120).

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

20594314110496 is a wasteful number, since it uses less digits than its factorization.

20594314110496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253431 (or 1253416 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

Adding to 20594314110496 its reverse (69401141349502), we get a palindrome (89995455459998).

The spelling of 20594314110496 in words is "twenty trillion, five hundred ninety-four billion, three hundred fourteen million, one hundred ten thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 94 98 112 188 196 223 224 329 376 392 446 658 752 784 892 1316 1504 1561 1568 1784 2303 2632 3122 3568 4606 5264 6244 7136 9212 10481 10528 10927 12488 18424 20962 21854 24976 36848 41924 43708 49952 73367 73696 83848 87416 146734 167696 174832 293468 335392 349664 513569 586936 1027138 1173872 1253137 2054276 2347744 2506274 4108552 5012548 8217104 8771959 10025096 16434208 17543918 20050192 35087836 40100384 58897439 61403713 70175672 117794878 122807426 140351344 235589756 245614852 279449551 280702688 412282073 471179512 491229704 558899102 824564146 942359024 982459408 1117798204 1649128292 1884718048 1956146857 1964918816 2235596408 2885974511 3298256584 3912293714 4471192816 5771949022 6596513168 7824587428 8942385632 11543898044 13134128897 13193026336 13693027999 15649174856 23087796088 26268257794 27386055998 31298349712 46175592176 52536515588 54772111996 62596699424 91938902279 92351184352 105073031176 109544223992 183877804558 210146062352 219088447984 367755609116 420292124704 438176895968 643572315953 735511218232 1287144631906 1471022436464 2574289263812 2942044872928 5148578527624 10297157055248 20594314110496