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3819347119225 = 52112355332
BaseRepresentation
bin110111100101000010110…
…101000000110001111001
3111112010101212102111122001
4313211002311000301321
51000034010330303400
612042330035501001
7542636660600401
oct67450265006171
914463355374561
103819347119225
111242859973500
1251826b757761
13219216b31c01
14d2c00953801
156953b2daa6a
hex37942d40c79

3819347119225 has 27 divisors (see below), whose sum is σ = 5205821935629. Its totient is φ = 2777628823200.

The previous prime is 3819347119201. The next prime is 3819347119241. The reversal of 3819347119225 is 5229117439183.

The square root of 3819347119225 is 1954315.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1620129302649 + 2199217816576 = 1272843^2 + 1482976^2 .

It is a de Polignac number, because none of the positive numbers 2k-3819347119225 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

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, 107469559 + ... + 107505091.

Almost surely, 23819347119225 is an apocalyptic number.

3819347119225 is the 1954315-th square number.

3819347119225 is the 977158-th centered octagonal number.

It is an amenable number.

3819347119225 is a deficient number, since it is larger than the sum of its proper divisors (1386474816404).

3819347119225 is an frugal number, since it uses more digits than its factorization.

3819347119225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71098 (or 35549 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 55.

The spelling of 3819347119225 in words is "three trillion, eight hundred nineteen billion, three hundred forty-seven million, one hundred nineteen thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 35533 177665 390863 888325 1954315 4299493 9771575 21497465 107487325 1262594089 6312970445 13888534979 31564852225 69442674895 152773884769 347213374475 763869423845 3819347119225