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1589997424401 = 324203172
BaseRepresentation
bin10111001000110011001…
…110110100111100010001
312122000001122122222210100
4113020303032310330101
5202022303320040101
63214233522523013
7222605422054041
oct27106316647421
95560048588710
101589997424401
11563350105391
1221819ab06469
13b6c22846459
1456d56097721
152b55d3b7e86
hex172333b4f11

1589997424401 has 9 divisors (see below), whose sum is σ = 2296668410491. Its totient is φ = 1059995761032.

The previous prime is 1589997424399. The next prime is 1589997424429. The reversal of 1589997424401 is 1044247999851.

The square root of 1589997424401 is 1260951.

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

1589997424401 is a `hidden beast` number, since 1 + 5 + 89 + 9 + 97 + 424 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 159284801025 + 1430712623376 = 399105^2 + 1196124^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1589997424401 - 21 = 1589997424399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1589997434401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3572695 + ... + 3993011.

Almost surely, 21589997424401 is an apocalyptic number.

1589997424401 is the 1260951-st square number.

1589997424401 is the 630476-th centered octagonal number.

It is an amenable number.

1589997424401 is a deficient number, since it is larger than the sum of its proper divisors (706670986090).

1589997424401 is an frugal number, since it uses more digits than its factorization.

1589997424401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840640 (or 420320 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 1589997424401 in words is "one trillion, five hundred eighty-nine billion, nine hundred ninety-seven million, four hundred twenty-four thousand, four hundred one".

Divisors: 1 3 9 420317 1260951 3782853 176666380489 529999141467 1589997424401