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2169402006321 = 32112446332
BaseRepresentation
bin11111100100011010011…
…011111001101100110001
321200101121100121101222100
4133210122123321230301
5241020413403200241
64340335353531013
7312506542541304
oct37443233715461
97611540541870
102169402006321
11767046970500
122b0540413a69
1312975c645b34
1476ddcd42b3b
153b6700a49b6
hex1f91a6f9b31

2169402006321 has 27 divisors (see below), whose sum is σ = 3444426179467. Its totient is φ = 1314759636960.

The previous prime is 2169402006283. The next prime is 2169402006347. The reversal of 2169402006321 is 1236002049612.

It is a happy number.

The square root of 2169402006321 is 1472889.

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

2169402006321 is a `hidden beast` number, since 2 + 16 + 9 + 4 + 0 + 2 + 0 + 0 + 632 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1911403026225 + 257998980096 = 1382535^2 + 507936^2 .

It is not a de Polignac number, because 2169402006321 - 231 = 2167254522673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2169402056321) 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, 48583021 + ... + 48627653.

Almost surely, 22169402006321 is an apocalyptic number.

2169402006321 is the 1472889-th square number.

2169402006321 is the 736445-th centered octagonal number.

It is an amenable number.

2169402006321 is a deficient number, since it is larger than the sum of its proper divisors (1275024173146).

2169402006321 is an frugal number, since it uses more digits than its factorization.

2169402006321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89294 (or 44647 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 2169402006321 by its sum of digits (36), we get a square (78098472227556 = 88373342).

The spelling of 2169402006321 in words is "two trillion, one hundred sixty-nine billion, four hundred two million, six thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 44633 133899 401697 490963 1472889 4418667 5400593 16201779 48605337 1992104689 5976314067 17928942201 21913151579 65739454737 197218364211 241044667369 723134002107 2169402006321