Search a number
-
+
20896221312 = 273242592
BaseRepresentation
bin10011011101100000…
…110000100010000000
31222221021221000202200
4103131200300202000
5320243413040222
613333302313200
71336553644011
oct233540604200
958837830680
1020896221312
11895341039a
124072128800
131c8027a3c5
14102333b008
1582479ceac
hex4dd830880

20896221312 has 72 divisors (see below), whose sum is σ = 60145175415. Its totient is φ = 6963771648.

The previous prime is 20896221271. The next prime is 20896221317. The reversal of 20896221312 is 21312269802.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

20896221312 is a `hidden beast` number, since 2 + 0 + 8 + 9 + 622 + 13 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10448110656 + 10448110656 = 102216^2 + 102216^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=102216.

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

It is not an unprimeable number, because it can be changed into a prime (20896221317) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4904239 + ... + 4908497.

Almost surely, 220896221312 is an apocalyptic number.

It is an amenable number.

20896221312 is an abundant number, since it is smaller than the sum of its proper divisors (39248954103).

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

20896221312 is an frugal number, since it uses more digits than its factorization.

20896221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8538 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 20896221312 in words is "twenty billion, eight hundred ninety-six million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 4259 8518 12777 17036 25554 34072 38331 51108 68144 76662 102216 136288 153324 204432 272576 306648 408864 545152 613296 817728 1226592 1635456 2453184 4906368 18139081 36278162 54417243 72556324 108834486 145112648 163251729 217668972 290225296 326503458 435337944 580450592 653006916 870675888 1160901184 1306013832 1741351776 2321802368 2612027664 3482703552 5224055328 6965407104 10448110656 20896221312