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20745217024 = 210726432
BaseRepresentation
bin10011010100100000…
…101110010000000000
31222112202210012211021
4103110200232100000
5314441233421044
613310305555224
71333041302200
oct232440562000
958482705737
1020745217024
118886152664
12402b645b14
131c57bb935c
14100b270400
158163c0e84
hex4d482e400

20745217024 has 99 divisors (see below), whose sum is σ = 48315957147. Its totient is φ = 8876980224.

The previous prime is 20745217007. The next prime is 20745217027. The reversal of 20745217024 is 42071254702.

The square root of 20745217024 is 144032.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20745217027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32262847 + ... + 32263489.

Almost surely, 220745217024 is an apocalyptic number.

20745217024 is the 144032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20745217024

20745217024 is an abundant number, since it is smaller than the sum of its proper divisors (27570740123).

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

20745217024 is an frugal number, since it uses more digits than its factorization.

20745217024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 34.

The spelling of 20745217024 in words is "twenty billion, seven hundred forty-five million, two hundred seventeen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 643 784 896 1024 1286 1568 1792 2572 3136 3584 4501 5144 6272 7168 9002 10288 12544 18004 20576 25088 31507 36008 41152 50176 63014 72016 82304 126028 144032 164608 252056 288064 329216 413449 504112 576128 658432 826898 1008224 1152256 1653796 2016448 2304512 2894143 3307592 4032896 4609024 5788286 6615184 8065792 11576572 13230368 16131584 20259001 23153144 26460736 32263168 40518002 46306288 52921472 81036004 92612576 105842944 162072008 185225152 211685888 324144016 370450304 423371776 648288032 740900608 1296576064 1481801216 2593152128 2963602432 5186304256 10372608512 20745217024