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5605601000 = 235310155501
BaseRepresentation
bin1010011100001111…
…01010111011101000
3112110122221000221212
411032013222323220
542440013213000
62324123252252
7255624552026
oct51607527350
915418830855
105605601000
112417240aaa
12110537a088
136b446898c
143b26a5716
1522c1cdc35
hex14e1eaee8

5605601000 has 64 divisors (see below), whose sum is σ = 13247217360. Its totient is φ = 2220000000.

The previous prime is 5605600969. The next prime is 5605601011. The reversal of 5605601000 is 1065065.

It can be written as a sum of positive squares in 8 ways, for example, as 2038883716 + 3566717284 = 45154^2 + 59722^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73250 + ... + 128750.

Almost surely, 25605601000 is an apocalyptic number.

5605601000 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 5605601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6623608680).

5605601000 is an abundant number, since it is smaller than the sum of its proper divisors (7641616360).

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

5605601000 is a wasteful number, since it uses less digits than its factorization.

5605601000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55623 (or 55609 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 5605601000 is about 74870.5616380697. The cubic root of 5605601000 is about 1776.3998479163.

Adding to 5605601000 its reverse (1065065), we get a palindrome (5606666065).

The spelling of 5605601000 in words is "five billion, six hundred five million, six hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 25250 50500 55501 101000 111002 222004 277505 444008 555010 1110020 1387525 2220040 2775050 5550100 5605601 6937625 11100200 11211202 13875250 22422404 27750500 28028005 44844808 55501000 56056010 112112020 140140025 224224040 280280050 560560100 700700125 1121120200 1401400250 2802800500 5605601000