Search a number
-
+
20716916909056 = 2101422372
BaseRepresentation
bin1001011010111100010000…
…11110010010010000000000
32201100111222120002220221221
410231132020132102100000
510203411221212042211
6112021115323324424
74235514341140654
oct455361036222000
981314876086857
1020716916909056
116667aa4562905
1223a70b1680714
13b7379b470b24
145189c01b2a64
1525dd641a0c71
hex12d788792400

20716916909056 has 33 divisors (see below), whose sum is σ = 41413893615129. Its totient is φ = 10358385629184.

The previous prime is 20716916909033. The next prime is 20716916909173. The reversal of 20716916909056 is 65090961961702.

The square root of 20716916909056 is 4551584.

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

It can be written as a sum of positive squares in only one way, i.e., 16173266560000 + 4543650349056 = 4021600^2 + 2131584^2 .

It is a super-2 number, since 2×207169169090562 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20716916908985 and 20716916909003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 145579570 + ... + 145721806.

Almost surely, 220716916909056 is an apocalyptic number.

20716916909056 is the 4551584-th square number.

It is an amenable number.

20716916909056 is a deficient number, since it is larger than the sum of its proper divisors (20696976706073).

20716916909056 is an frugal number, since it uses more digits than its factorization.

20716916909056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284494 (or 142239 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 61.

The spelling of 20716916909056 in words is "twenty trillion, seven hundred sixteen billion, nine hundred sixteen million, nine hundred nine thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 142237 284474 568948 1137896 2275792 4551584 9103168 18206336 36412672 72825344 145650688 20231364169 40462728338 80925456676 161850913352 323701826704 647403653408 1294807306816 2589614613632 5179229227264 10358458454528 20716916909056