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20434653324 = 22332378710453
BaseRepresentation
bin10011000010000000…
…000001000010001100
31221202010101221112000
4103002000001002030
5313322232401244
613215413312300
71322250454521
oct230200010214
957663357460
1020434653324
118736913548
123b63635690
131c08760257
14dbbd0b148
157e8ec7169
hex4c200108c

20434653324 has 96 divisors (see below), whose sum is σ = 55357693440. Its totient is φ = 6506495424.

The previous prime is 20434653271. The next prime is 20434653397. The reversal of 20434653324 is 42335643402.

20434653324 is a `hidden beast` number, since 20 + 43 + 46 + 533 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1949682 + ... + 1960134.

It is an arithmetic number, because the mean of its divisors is an integer number (576642640).

Almost surely, 220434653324 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 20434653324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27678846720).

20434653324 is an abundant number, since it is smaller than the sum of its proper divisors (34923040116).

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

20434653324 is a wasteful number, since it uses less digits than its factorization.

20434653324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11276 (or 11268 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The spelling of 20434653324 in words is "twenty billion, four hundred thirty-four million, six hundred fifty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 787 828 1242 1574 2361 2484 3148 4722 7083 9444 10453 14166 18101 20906 21249 28332 31359 36202 41812 42498 54303 62718 72404 84996 94077 108606 125436 162909 188154 217212 240419 282231 325818 376308 480838 488727 564462 651636 721257 961676 977454 1128924 1442514 1954908 2163771 2885028 4327542 6491313 8226511 8655084 12982626 16453022 24679533 25965252 32906044 49359066 74038599 98718132 148077198 189209753 222115797 296154396 378419506 444231594 567629259 756839012 888463188 1135258518 1702887777 2270517036 3405775554 5108663331 6811551108 10217326662 20434653324