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1783424031601 = 23231218732
BaseRepresentation
bin11001111100111100010…
…110110001101101110001
320022111022212221201120011
4121330330112301231301
5213204423023002401
63443143234214521
7242563624101412
oct31747426615561
96274285851504
101783424031601
11628389410253
12249781124441
13cc23a058894
146246514b809
15315ce6e0451
hex19f3c5b1b71

1783424031601 has 27 divisors (see below), whose sum is σ = 1927444437387. Its totient is φ = 1649973948480.

The previous prime is 1783424031527. The next prime is 1783424031607. The reversal of 1783424031601 is 1061304243871.

The square root of 1783424031601 is 1335449.

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., 47291026225 + 1736133005376 = 217465^2 + 1317624^2 .

It is not a de Polignac number, because 1783424031601 - 211 = 1783424029553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1783424031607) 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, 952174201 + ... + 952176073.

Almost surely, 21783424031601 is an apocalyptic number.

1783424031601 is the 1335449-th square number.

1783424031601 is the 667725-th centered octagonal number.

It is an amenable number.

1783424031601 is a deficient number, since it is larger than the sum of its proper divisors (144020405786).

1783424031601 is an frugal number, since it uses more digits than its factorization.

1783424031601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 1783424031601 in words is "one trillion, seven hundred eighty-three billion, four hundred twenty-four million, thirty-one thousand, six hundred one".

Divisors: 1 23 31 529 713 961 1873 16399 22103 43079 58063 508369 990817 1335449 1799953 3508129 30715327 41398919 80686967 108751999 952175137 1855800241 2501295977 3371311969 57529807471 77540175287 1783424031601