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1675339333801 = 72179210332
BaseRepresentation
bin11000011000010010000…
…000011000000010101001
312221011100021112011212121
4120120102000120002221
5204422043332140201
63321350144111241
7232016320242400
oct30302200300251
95834307464777
101675339333801
11596564418021
12230837905521
13c1ca35bc5b3
145b130496637
152d8a58299a1
hex186120180a9

1675339333801 has 27 divisors (see below), whose sum is σ = 1961711497431. Its totient is φ = 1426600403424.

The previous prime is 1675339333799. The next prime is 1675339333859. The reversal of 1675339333801 is 1083339335761.

It is a happy number.

The square root of 1675339333801 is 1294349.

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., 1617462522025 + 57876811776 = 1271795^2 + 240576^2 .

It is not a de Polignac number, because 1675339333801 - 21 = 1675339333799 is a prime.

It is a super-2 number, since 2×16753393338012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1675339333861) 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, 1621818781 + ... + 1621819813.

Almost surely, 21675339333801 is an apocalyptic number.

1675339333801 is the 1294349-th square number.

1675339333801 is the 647175-th centered octagonal number.

It is an amenable number.

1675339333801 is a deficient number, since it is larger than the sum of its proper divisors (286372163630).

1675339333801 is an frugal number, since it uses more digits than its factorization.

1675339333801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 52.

The spelling of 1675339333801 in words is "one trillion, six hundred seventy-five billion, three hundred thirty-nine million, three hundred thirty-three thousand, eight hundred one".

Divisors: 1 7 49 179 1033 1253 7231 8771 32041 50617 184907 224287 1067089 1294349 1570009 7469623 9060443 33098353 52287361 191008931 231688471 1337062517 1621819297 9359437619 34190598649 239334190543 1675339333801