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3816891140 = 225377370657
BaseRepresentation
bin1110001110000001…
…0010001100000100
3100212000011011022112
43203200102030010
530304111004030
61430425120152
7163405016336
oct34340221404
910760134275
103816891140
111689598897
128a6329058
1348a9cc78a
14282ccb456
15175155a95
hexe3812304

3816891140 has 48 divisors (see below), whose sum is σ = 8344992432. Its totient is φ = 1465122816.

The previous prime is 3816891107. The next prime is 3816891167. The reversal of 3816891140 is 411986183.

It can be written as a sum of positive squares in 8 ways, for example, as 771617284 + 3045273856 = 27778^2 + 55184^2 .

It is a super-2 number, since 2×38168911402 = 29137315949220999200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18692 + ... + 89348.

It is an arithmetic number, because the mean of its divisors is an integer number (173854009).

Almost surely, 23816891140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3816891140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172496216).

3816891140 is an abundant number, since it is smaller than the sum of its proper divisors (4528101292).

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

3816891140 is a wasteful number, since it uses less digits than its factorization.

3816891140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70776 (or 70774 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 3816891140 is about 61780.9933555620. The cubic root of 3816891140 is about 1562.7994795773.

The spelling of 3816891140 in words is "three billion, eight hundred sixteen million, eight hundred ninety-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 73 74 146 148 185 292 365 370 730 740 1460 2701 5402 10804 13505 27010 54020 70657 141314 282628 353285 706570 1413140 2614309 5157961 5228618 10315922 10457236 13071545 20631844 25789805 26143090 51579610 52286180 103159220 190844557 381689114 763378228 954222785 1908445570 3816891140