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132828091361449 = 11210477372
BaseRepresentation
bin11110001100111001110011…
…001100111010100010101001
3122102022020112001211220012221
4132030321303030322202221
5114402223412342031244
61150300214402434041
736656340633511531
oct3614716314724251
9572266461756187
10132828091361449
1139361093830400
1212a92b83062921
1359168348c1493
1424b2cb1b464c1
15105526bb29784
hex78ce7333a8a9

132828091361449 has 9 divisors (see below), whose sum is σ = 146001264564631. Its totient is φ = 120752695077520.

The previous prime is 132828091361411. The next prime is 132828091361501. The reversal of 132828091361449 is 944163190828231.

The square root of 132828091361449 is 11525107.

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., 3332066906025 + 129496024455424 = 1825395^2 + 11379632^2 .

It is not a de Polignac number, because 132828091361449 - 27 = 132828091361321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132828091365449) 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, 126252309 + ... + 127300045.

Almost surely, 2132828091361449 is an apocalyptic number.

132828091361449 is the 11525107-th square number.

132828091361449 is the 5762554-th centered octagonal number.

It is an amenable number.

132828091361449 is a deficient number, since it is larger than the sum of its proper divisors (13173173203182).

132828091361449 is an frugal number, since it uses more digits than its factorization.

132828091361449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095496 (or 1047748 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 61.

The spelling of 132828091361449 in words is "one hundred thirty-two trillion, eight hundred twenty-eight billion, ninety-one million, three hundred sixty-one thousand, four hundred forty-nine".

Divisors: 1 11 121 1047737 11525107 126776177 1097752821169 12075281032859 132828091361449