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19325000632441 = 72379216572
BaseRepresentation
bin1000110010011011100111…
…10011000100100001111001
32112102110012112001211021111
410121031303303010201321
510013110100130214231
6105033441023040321
74033120350042400
oct431156363044171
975373175054244
1019325000632441
116180761067649
1222013937400a1
13aa245554213a
144ab499426637
15237a4aa784b1
hex119373cc4879

19325000632441 has 27 divisors (see below), whose sum is σ = 22553184382479. Its totient is φ = 16510610839968.

The previous prime is 19325000632409. The next prime is 19325000632451. The reversal of 19325000632441 is 14423600052391.

The square root of 19325000632441 is 4396021.

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., 6153153108025 + 13171847524416 = 2480555^2 + 3629304^2 .

It is not a de Polignac number, because 19325000632441 - 25 = 19325000632409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19325000632394 and 19325000632403.

It is not an unprimeable number, because it can be changed into a prime (19325000632451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11662642885 + ... + 11662644541.

It is an arithmetic number, because the mean of its divisors is an integer number (835303125277).

Almost surely, 219325000632441 is an apocalyptic number.

19325000632441 is the 4396021-st square number.

19325000632441 is the 2198011-st centered octagonal number.

It is an amenable number.

19325000632441 is a deficient number, since it is larger than the sum of its proper divisors (3228183750038).

19325000632441 is an frugal number, since it uses more digits than its factorization.

19325000632441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 19325000632441 in words is "nineteen trillion, three hundred twenty-five billion, six hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 7 49 379 1657 2653 11599 18571 81193 143641 628003 1005487 2745649 4396021 7038409 19219543 30772147 134536801 238013137 1040600971 1666091959 7284206797 11662643713 50989447579 394387768009 2760714376063 19325000632441