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2328364706404 = 2211243216132
BaseRepresentation
bin100001111000011101010…
…110011110101001100100
322020120220201222020222211
4201320131112132221210
5301121442331101104
64541345212133204
7330135022312432
oct41703526365144
98216821866884
102328364706404
118184aa1a3900
12317304767204
1313b743a15a09
148099cb99d52
1540875943e04
hex21e1d59ea64

2328364706404 has 81 divisors (see below), whose sum is σ = 4588157941689. Its totient is φ = 1033093981920.

The previous prime is 2328364706333. The next prime is 2328364706431. The reversal of 2328364706404 is 4046074638232.

The square root of 2328364706404 is 1525898.

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

2328364706404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1454797822500 + 873566883904 = 1206150^2 + 934648^2 .

It is a super-2 number, since 2×23283647064042 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1443498702 + ... + 1443500314.

Almost surely, 22328364706404 is an apocalyptic number.

2328364706404 is the 1525898-th square number.

It is an amenable number.

2328364706404 is a deficient number, since it is larger than the sum of its proper divisors (2259793235285).

2328364706404 is an equidigital number, since it uses as much as digits as its factorization.

2328364706404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 49.

Multiplying 2328364706404 by its sum of digits (49), we get a square (114089870613796 = 106812862).

The spelling of 2328364706404 in words is "two trillion, three hundred twenty-eight billion, three hundred sixty-four million, seven hundred six thousand, four hundred four".

Divisors: 1 2 4 11 22 43 44 86 121 172 242 473 484 946 1613 1849 1892 3226 3698 5203 6452 7396 10406 17743 20339 20812 35486 40678 69359 70972 81356 138718 195173 223729 277436 390346 447458 762949 780692 894916 1525898 2601769 2982437 3051796 5203538 5964874 8392439 10407076 11929748 16784878 28619459 32806807 33569756 57238918 65613614 111876067 114477836 131227228 223752134 314814049 360874877 447504268 629628098 721749754 1230636737 1259256196 1443499508 2461273474 4810670881 4922546948 9621341762 13537004107 19242683524 27074008214 52917379691 54148016428 105834759382 211669518764 582091176601 1164182353202 2328364706404