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20422032210432 = 29326067730487
BaseRepresentation
bin1001010010010110111111…
…11110011011101000000000
32200022022211112112010112100
410221023133332123220000
510134043310221213212
6111233430241030400
74205304665434356
oct451133776335000
980268745463470
1020422032210432
116563a31866206
122359b15325400
13b51a35341188
145086085877d6
15256355b21bdc
hex1292dff9ba00

20422032210432 has 120 divisors (see below), whose sum is σ = 58949163146016. Its totient is φ = 6806212724736.

The previous prime is 20422032210373. The next prime is 20422032210451. The reversal of 20422032210432 is 23401223022402.

20422032210432 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 2 + 0 + 3 + 221 + 0 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20422032210396 and 20422032210405.

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 11 ways as a sum of consecutive naturals, for example, 27591493 + ... + 28321979.

Almost surely, 220422032210432 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 20422032210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29474581573008).

20422032210432 is an abundant number, since it is smaller than the sum of its proper divisors (38527130935584).

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

20422032210432 is an equidigital number, since it uses as much as digits as its factorization.

20422032210432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736578 (or 736559 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20422032210432 its reverse (23401223022402), we get a palindrome (43823255232834).

The spelling of 20422032210432 in words is "twenty trillion, four hundred twenty-two billion, thirty-two million, two hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 6067 12134 18201 24268 36402 48536 54603 72804 97072 109206 145608 194144 218412 291216 388288 436824 582432 730487 776576 873648 1164864 1460974 1553152 1747296 2191461 2329728 2921948 3106304 3494592 4382922 4659456 5843896 6574383 6989184 8765844 9318912 11687792 13148766 13978368 17531688 23375584 26297532 27956736 35063376 46751168 52595064 70126752 93502336 105190128 140253504 187004672 210380256 280507008 374009344 420760512 561014016 841521024 1122028032 1683042048 3366084096 4431864629 8863729258 13295593887 17727458516 26591187774 35454917032 39886781661 53182375548 70909834064 79773563322 106364751096 141819668128 159547126644 212729502192 283639336256 319094253288 425459004384 567278672512 638188506576 850918008768 1134557345024 1276377013152 1701836017536 2269114690048 2552754026304 3403672035072 5105508052608 6807344070144 10211016105216 20422032210432