Search a number
-
+
5445045000 = 233254121001
BaseRepresentation
bin1010001001000110…
…01100101100001000
3112001110210221112100
411010203030230020
542122412420000
62300150113400
7251635055523
oct50443145410
915043727470
105445045000
11234464999a
12107b64b860
1368a112125
1439922dbba
1521d066a00
hex1448ccb08

5445045000 has 120 divisors (see below), whose sum is σ = 18427999590. Its totient is φ = 1452000000.

The previous prime is 5445044989. The next prime is 5445045019. The reversal of 5445045000 is 5405445.

It can be written as a sum of positive squares in 5 ways, for example, as 101727396 + 5343317604 = 10086^2 + 73098^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15501 + ... + 105500.

Almost surely, 25445045000 is an apocalyptic number.

5445045000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5445045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9213999795).

5445045000 is an abundant number, since it is smaller than the sum of its proper divisors (12982954590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5445045000 is a wasteful number, since it uses less digits than its factorization.

5445045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121033 (or 121011 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 5445045000 is about 73790.5481752236. The cubic root of 5445045000 is about 1759.2753774933.

It can be divided in two parts, 54450 and 45000, that multiplied together give a square (2450250000 = 495002).

The spelling of 5445045000 in words is "five billion, four hundred forty-five million, forty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3750 4500 5000 5625 7500 9000 11250 15000 22500 45000 121001 242002 363003 484004 605005 726006 968008 1089009 1210010 1452012 1815015 2178018 2420020 2904024 3025025 3630030 4356036 4840040 5445045 6050050 7260060 8712072 9075075 10890090 12100100 14520120 15125125 18150150 21780180 24200200 27225225 30250250 36300300 43560360 45375375 54450450 60500500 72600600 75625625 90750750 108900900 121001000 136126125 151251250 181501500 217801800 226876875 272252250 302502500 363003000 453753750 544504500 605005000 680630625 907507500 1089009000 1361261250 1815015000 2722522500 5445045000