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4163005264 = 241126987931
BaseRepresentation
bin1111100000100010…
…0110101101010000
3101202010102120122011
43320020212231100
532011212132024
61525031352304
7205106650405
oct37010465520
911663376564
104163005264
1118469a9520
12982222694
13514625032
142b6c662ac
15195723094
hexf8226b50

4163005264 has 40 divisors (see below), whose sum is σ = 8831890080. Its totient is φ = 1885219200.

The previous prime is 4163005261. The next prime is 4163005333. The reversal of 4163005264 is 4625003614.

It is a super-2 number, since 2×41630052642 = 34661225656183419392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4163005261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3379 + ... + 91309.

It is an arithmetic number, because the mean of its divisors is an integer number (220797252).

Almost surely, 24163005264 is an apocalyptic number.

4163005264 is a gapful number since it is divisible by the number (44) 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 4163005264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415945040).

4163005264 is an abundant number, since it is smaller than the sum of its proper divisors (4668884816).

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

4163005264 is a wasteful number, since it uses less digits than its factorization.

4163005264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88219 (or 88213 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 4163005264 is about 64521.3551004627. The cubic root of 4163005264 is about 1608.6774968266.

Adding to 4163005264 its reverse (4625003614), we get a palindrome (8788008878).

The spelling of 4163005264 in words is "four billion, one hundred sixty-three million, five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 269 538 1076 2152 2959 4304 5918 11836 23672 47344 87931 175862 351724 703448 967241 1406896 1934482 3868964 7737928 15475856 23653439 47306878 94613756 189227512 260187829 378455024 520375658 1040751316 2081502632 4163005264