Search a number
-
+
413545455625 = 542928872
BaseRepresentation
bin1100000010010010011…
…10101110000000001001
31110112102200201210220111
412001021032232000021
523233420114040000
6513551414154321
741610020242201
oct6011116560011
91415380653814
10413545455625
1114a4246a0725
12681936529a1
132ccc6a1bc43
1416031157401
15ab55b91cba
hex60493ae009

413545455625 has 45 divisors (see below), whose sum is σ = 535804461907. Its totient is φ = 319068092000.

The previous prime is 413545455613. The next prime is 413545455647. The reversal of 413545455625 is 526554545314.

The square root of 413545455625 is 643075.

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

It can be written as a sum of positive squares in 7 ways, for example, as 309301710201 + 104243745424 = 556149^2 + 322868^2 .

It is not a de Polignac number, because 413545455625 - 27 = 413545455497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 466228932 + ... + 466229818.

Almost surely, 2413545455625 is an apocalyptic number.

413545455625 is the 643075-th square number.

413545455625 is the 321538-th centered octagonal number.

It is an amenable number.

413545455625 is a deficient number, since it is larger than the sum of its proper divisors (122259006282).

413545455625 is an frugal number, since it uses more digits than its factorization.

413545455625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 921 counting only the distinct ones).

The product of its digits is 7200000, while the sum is 49.

Multiplying 413545455625 by its sum of digits (49), we get a square (20263727325625 = 45015252).

The spelling of 413545455625 in words is "four hundred thirteen billion, five hundred forty-five million, four hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 29 125 145 625 725 841 887 3625 4205 4435 18125 21025 22175 25723 105125 110875 128615 525625 554375 643075 745967 786769 3215375 3729835 3933845 16076875 18649175 19669225 22816301 93245875 98346125 114081505 466229375 491730625 570407525 661672729 2852037625 3308363645 14260188125 16541818225 82709091125 413545455625