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4081803264 = 21332711719
BaseRepresentation
bin1111001101001011…
…0110000000000000
3101112110122002102200
43303102312000000
531324420201024
61513011113200
7203102520030
oct36322660000
911473562380
104081803264
111805087230
1295aba2800
13500863806
142aa1698c0
1518d5332c9
hexf34b6000

4081803264 has 336 divisors, whose sum is σ = 14721108480. Its totient is φ = 1058734080.

The previous prime is 4081803211. The next prime is 4081803287. The reversal of 4081803264 is 4623081804.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×40818032642 = 33322235772002107392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5676697 + ... + 5677415.

Almost surely, 24081803264 is an apocalyptic number.

4081803264 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 4081803264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360554240).

4081803264 is an abundant number, since it is smaller than the sum of its proper divisors (10639305216).

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

4081803264 is a wasteful number, since it uses less digits than its factorization.

4081803264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4081803264 is about 63888.9917278399. The cubic root of 4081803264 is about 1598.1493268726.

The spelling of 4081803264 in words is "four billion, eighty-one million, eight hundred three thousand, two hundred sixty-four".