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20954299536 = 243440212
BaseRepresentation
bin10011100000111110…
…010011110010010000
32000002100012201010000
4103200332103302100
5320403300041121
613343135210000
71341160415202
oct234076236220
960070181100
1020954299536
118983179425
124089676900
131c8c303711
14102ad38772
15829921526
hex4e0f93c90

20954299536 has 75 divisors (see below), whose sum is σ = 60662908713. Its totient is φ = 6983029440.

The previous prime is 20954299517. The next prime is 20954299573. The reversal of 20954299536 is 63599245902.

It is a happy number.

The square root of 20954299536 is 144756.

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

20954299536 is a `hidden beast` number, since 2 + 0 + 9 + 542 + 9 + 95 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1242139536 + 19712160000 = 35244^2 + 140400^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5209206 + ... + 5213226.

Almost surely, 220954299536 is an apocalyptic number.

20954299536 is the 144756-th square number.

It is an amenable number.

20954299536 is an abundant number, since it is smaller than the sum of its proper divisors (39708609177).

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

20954299536 is an frugal number, since it uses more digits than its factorization.

20954299536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8062 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 20954299536 in words is "twenty billion, nine hundred fifty-four million, two hundred ninety-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 4021 8042 12063 16084 24126 32168 36189 48252 64336 72378 96504 108567 144756 193008 217134 289512 325701 434268 579024 651402 868536 1302804 1737072 2605608 5211216 16168441 32336882 48505323 64673764 97010646 129347528 145515969 194021292 258695056 291031938 388042584 436547907 582063876 776085168 873095814 1164127752 1309643721 1746191628 2328255504 2619287442 3492383256 5238574884 6984766512 10477149768 20954299536