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20432032100433 = 327983904338287
BaseRepresentation
bin1001010010101001101000…
…00000111111000001010001
32200100021122110002011202200
410221110310000333001101
510134224300204203213
6111242202421233413
74206110542210542
oct451246400770121
980307573064680
1020432032100433
1165681a3505608
12235ba46262869
13b52969cc0555
14508cb66bc4c9
1525673d9ac273
hex12953403f051

20432032100433 has 48 divisors (see below), whose sum is σ = 30250730065920. Its totient is φ = 13285080892512.

The previous prime is 20432032100357. The next prime is 20432032100461. The reversal of 20432032100433 is 33400123023402.

20432032100433 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 203 + 21 + 0 + 0 + 433 = 666.

It is not a de Polignac number, because 20432032100433 - 229 = 20431495229521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20432032100397 and 20432032100406.

It is not an unprimeable number, because it can be changed into a prime (20432032100033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 533635416 + ... + 533673702.

It is an arithmetic number, because the mean of its divisors is an integer number (630223543040).

Almost surely, 220432032100433 is an apocalyptic number.

It is an amenable number.

20432032100433 is a deficient number, since it is larger than the sum of its proper divisors (9818697965487).

20432032100433 is a wasteful number, since it uses less digits than its factorization.

20432032100433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47498 (or 47495 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 20432032100433 its reverse (33400123023402), we get a palindrome (53832155123835).

The spelling of 20432032100433 in words is "twenty trillion, four hundred thirty-two billion, thirty-two million, one hundred thousand, four hundred thirty-three".

Divisors: 1 3 9 79 83 237 249 711 747 6557 9043 19671 27129 38287 59013 81387 114861 344583 714397 750569 2143191 2251707 3024673 3177821 6429573 6755121 9074019 9533463 27222057 28600389 59294951 177884853 251047859 346229341 533654559 753143577 1038688023 2259430731 3116064069 27352117939 28737035303 82056353817 86211105909 246169061451 258633317727 2270225788937 6810677366811 20432032100433