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20411433432 = 23331350914281
BaseRepresentation
bin10011000000100111…
…011100000111011000
31221200111201020211000
4103000213130013120
5313300311332212
613213223505000
71321546215165
oct230047340730
957614636730
1020411433432
1187247a4055
123b578b8160
131c039c0380
14db8bc506c
157e6e3c1dc
hex4c09dc1d8

20411433432 has 128 divisors (see below), whose sum is σ = 61184088000. Its totient is φ = 6267663360.

The previous prime is 20411433403. The next prime is 20411433437. The reversal of 20411433432 is 23433411402.

20411433432 is a `hidden beast` number, since 204 + 114 + 3 + 343 + 2 = 666.

It is a super-2 number, since 2×204114334322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20411433396 and 20411433405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20411433437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1422132 + ... + 1436412.

Almost surely, 220411433432 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 20411433432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30592044000).

20411433432 is an abundant number, since it is smaller than the sum of its proper divisors (40772654568).

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

20411433432 is a wasteful number, since it uses less digits than its factorization.

20411433432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14818 (or 14808 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20411433432 its reverse (23433411402), we get a palindrome (43844844834).

The spelling of 20411433432 in words is "twenty billion, four hundred eleven million, four hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 509 702 936 1018 1404 1527 2036 2808 3054 4072 4581 6108 6617 9162 12216 13234 13743 14281 18324 19851 26468 27486 28562 36648 39702 42843 52936 54972 57124 59553 79404 85686 109944 114248 119106 128529 158808 171372 178659 185653 238212 257058 342744 357318 371306 385587 476424 514116 556959 714636 742612 771174 1028232 1113918 1429272 1485224 1542348 1670877 2227836 3084696 3341754 4455672 5012631 6683508 7269029 10025262 13367016 14538058 20050524 21807087 29076116 40101048 43614174 58152232 65421261 87228348 94497377 130842522 174456696 188994754 196263783 261685044 283492131 377989508 392527566 523370088 566984262 755979016 785055132 850476393 1133968524 1570110264 1700952786 2267937048 2551429179 3401905572 5102858358 6803811144 10205716716 20411433432