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20700525347089 = 726499692
BaseRepresentation
bin1001011010011101101110…
…11101011100000100010001
32201021221200012111022010021
410231032313131130010101
510203124133442101324
6112005405015303441
74234364213151400
oct455166735340421
981257605438107
1020700525347089
116661052995785
1223a3a9807ab81
13b7208853bc33
14517ca7235637
1525d705111ae4
hex12d3b775c111

20700525347089 has 9 divisors (see below), whose sum is σ = 24080240003067. Its totient is φ = 17743280141664.

The previous prime is 20700525347041. The next prime is 20700525347093. The reversal of 20700525347089 is 98074352500702.

It is a happy number.

The square root of 20700525347089 is 4549783.

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., 2398214612689 + 18302310734400 = 1548617^2 + 4278120^2 .

It is not a de Polignac number, because 20700525347089 - 29 = 20700525346577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20700525347009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31523497 + ... + 32173465.

It is an arithmetic number, because the mean of its divisors is an integer number (2675582222563).

Almost surely, 220700525347089 is an apocalyptic number.

20700525347089 is the 4549783-rd square number.

20700525347089 is the 2274892-nd centered octagonal number.

It is an amenable number.

20700525347089 is a deficient number, since it is larger than the sum of its proper divisors (3379714655978).

20700525347089 is an frugal number, since it uses more digits than its factorization.

20700525347089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299952 (or 649976 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 20700525347089 in words is "twenty trillion, seven hundred billion, five hundred twenty-five million, three hundred forty-seven thousand, eighty-nine".

Divisors: 1 7 49 649969 4549783 31848481 422459700961 2957217906727 20700525347089