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22630276322641 = 1323659332
BaseRepresentation
bin1010010010101000001011…
…00101001101010101010001
32222010102200212101221220001
411021110011211031111101
510431233301214311031
6120044112212050001
74523661225620131
oct511240545152521
988112625357801
1022630276322641
1172354a0017769
122655a95903901
13c82044b98300
1458344dda8ac1
152939eabdd861
hex14950594d551

22630276322641 has 9 divisors (see below), whose sum is σ = 24505040735409. Its totient is φ = 20889428750736.

The previous prime is 22630276322639. The next prime is 22630276322699. The reversal of 22630276322641 is 14622367203622.

The square root of 22630276322641 is 4757129.

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 18123147322641 + 4507129000000 = 4257129^2 + 2123000^2 .

It is not a de Polignac number, because 22630276322641 - 21 = 22630276322639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22630276322591 and 22630276322600.

It is not an unprimeable number, because it can be changed into a prime (22630276322611) 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, 61659711 + ... + 62025643.

Almost surely, 222630276322641 is an apocalyptic number.

22630276322641 is the 4757129-th square number.

22630276322641 is the 2378565-th centered octagonal number.

It is an amenable number.

22630276322641 is a deficient number, since it is larger than the sum of its proper divisors (1874764412768).

22630276322641 is an frugal number, since it uses more digits than its factorization.

22630276322641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731892 (or 365946 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 46.

The spelling of 22630276322641 in words is "twenty-two trillion, six hundred thirty billion, two hundred seventy-six million, three hundred twenty-two thousand, six hundred forty-one".

Divisors: 1 13 169 365933 4757129 61842677 133906960489 1740790486357 22630276322641