Search a number
-
+
20411432412 = 22374725720117
BaseRepresentation
bin10011000000100111…
…011011110111011100
31221200111201012102020
4103000213123313130
5313300311314122
613213223500140
71321546212210
oct230047336734
957614635366
1020411432412
1187247a3308
123b578b7650
131c039bca77
14db8bc4940
157e6e3bc5c
hex4c09dbddc

20411432412 has 96 divisors (see below), whose sum is σ = 55807653888. Its totient is φ = 5685264384.

The previous prime is 20411432411. The next prime is 20411432417. The reversal of 20411432412 is 21423411402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20411432411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1004578 + ... + 1024694.

It is an arithmetic number, because the mean of its divisors is an integer number (581329728).

Almost surely, 220411432412 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 20411432412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27903826944).

20411432412 is an abundant number, since it is smaller than the sum of its proper divisors (35396221476).

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

20411432412 is a wasteful number, since it uses less digits than its factorization.

20411432412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20435 (or 20433 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 20411432412 its reverse (21423411402), we get a palindrome (41834843814).

The spelling of 20411432412 in words is "twenty billion, four hundred eleven million, four hundred thirty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 257 282 329 514 564 658 771 987 1028 1316 1542 1799 1974 3084 3598 3948 5397 7196 10794 12079 20117 21588 24158 36237 40234 48316 60351 72474 80468 84553 120702 140819 144948 169106 241404 253659 281638 338212 422457 507318 563276 844914 945499 1014636 1689828 1890998 2836497 3781996 5170069 5672994 6618493 10340138 11345988 13236986 15510207 19855479 20680276 26473972 31020414 36190483 39710958 62040828 72380966 79421916 108571449 144761932 217142898 242993243 434285796 485986486 728979729 971972972 1457959458 1700952701 2915918916 3401905402 5102858103 6803810804 10205716206 20411432412