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20955602797441 = 1323521332
BaseRepresentation
bin1001100001111000110110…
…10000101100001110000001
32202012100001222201100201021
410300330123100230032001
510221314033304004231
6112322512050305441
74261664241542404
oct460743320541601
982170058640637
1020955602797441
11674a248516594
122425404b88281
13b90149506400
14526384109d3b
15265183a80811
hex130f1b42c381

20955602797441 has 9 divisors (see below), whose sum is σ = 22691634333609. Its totient is φ = 19343578418736.

The previous prime is 20955602797427. The next prime is 20955602797447. The reversal of 20955602797441 is 14479720655902.

The square root of 20955602797441 is 4577729.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2081443883841 + 18874158913600 = 1442721^2 + 4344440^2 .

It is not a de Polignac number, because 20955602797441 - 213 = 20955602789249 is a prime.

It is a super-2 number, since 2×209556027974412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20955602797441.

It is not an unprimeable number, because it can be changed into a prime (20955602797447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 59334411 + ... + 59686543.

Almost surely, 220955602797441 is an apocalyptic number.

20955602797441 is the 4577729-th square number.

20955602797441 is the 2288865-th centered octagonal number.

It is an amenable number.

20955602797441 is a deficient number, since it is larger than the sum of its proper divisors (1736031536168).

20955602797441 is an frugal number, since it uses more digits than its factorization.

20955602797441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704292 (or 352146 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 61.

The spelling of 20955602797441 in words is "twenty trillion, nine hundred fifty-five billion, six hundred two million, seven hundred ninety-seven thousand, four hundred forty-one".

Divisors: 1 13 169 352133 4577729 59510477 123997649689 1611969445957 20955602797441