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3641013018 = 234616072
BaseRepresentation
bin1101100100000101…
…0111001100011010
3100101202012121220000
43121001113030122
524424044404033
61401143313430
7156141046206
oct33101271432
910352177800
103641013018
1115a9290a75
1285744b876
1346043ca96
142677c7b06
151649b3a13
hexd905731a

3641013018 has 60 divisors (see below), whose sum is σ = 8305996842. Its totient is φ = 1191808080.

The previous prime is 3641012993. The next prime is 3641013031. The reversal of 3641013018 is 8103101463.

3641013018 is a `hidden beast` number, since 3 + 641 + 0 + 1 + 3 + 0 + 18 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3611168649 + 29844369 = 60093^2 + 5463^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3641012982 and 3641013000.

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, 5998071 + ... + 5998677.

Almost surely, 23641013018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3641013018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152998421).

3641013018 is an abundant number, since it is smaller than the sum of its proper divisors (4664983824).

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

3641013018 is an frugal number, since it uses more digits than its factorization.

3641013018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3641013018 is about 60340.8072368940. The cubic root of 3641013018 is about 1538.4170243881.

The spelling of 3641013018 in words is "three billion, six hundred forty-one million, thirteen thousand, eighteen".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 366 549 607 1098 1214 1647 1821 3294 3642 4941 5463 9882 10926 16389 32778 37027 49167 74054 98334 111081 222162 333243 368449 666486 736898 999729 1105347 1999458 2210694 2999187 3316041 5998374 6632082 9948123 19896246 22475389 29844369 44950778 59688738 67426167 134852334 202278501 404557002 606835503 1213671006 1820506509 3641013018