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20918415424 = 2610121792
BaseRepresentation
bin10011011110110101…
…011011000001000000
31222222211200121100211
4103132311123001000
5320320103243144
613335414123504
71340243411614
oct233665330100
958884617324
1020918415424
11896499a135
124079650594
131c84a4b40a
141026277344
158266d4034
hex4ded5b040

20918415424 has 63 divisors (see below), whose sum is σ = 42160566301. Its totient is φ = 10297798400.

The previous prime is 20918415409. The next prime is 20918415439. The reversal of 20918415424 is 42451481902.

The square root of 20918415424 is 144632.

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

It is an interprime number because it is at equal distance from previous prime (20918415409) and next prime (20918415439).

It can be written as a sum of positive squares in only one way, i.e., 20098165824 + 820249600 = 141768^2 + 28640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 116862567 + ... + 116862745.

Almost surely, 220918415424 is an apocalyptic number.

20918415424 is the 144632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20918415424

20918415424 is an abundant number, since it is smaller than the sum of its proper divisors (21242150877).

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

20918415424 is an frugal number, since it uses more digits than its factorization.

20918415424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 20918415424 in words is "twenty billion, nine hundred eighteen million, four hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 101 179 202 358 404 716 808 1432 1616 2864 3232 5728 6464 10201 11456 18079 20402 32041 36158 40804 64082 72316 81608 128164 144632 163216 256328 289264 326432 512656 578528 652864 1025312 1157056 1825979 2050624 3236141 3651958 6472282 7303916 12944564 14607832 25889128 29215664 51778256 58431328 103556512 116862656 207113024 326850241 653700482 1307400964 2614801928 5229603856 10459207712 20918415424