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4000571136 = 283211631493
BaseRepresentation
bin1110111001110011…
…1101111100000000
3101022210210001220100
43232130331330000
531143121234021
61500550042400
7201065202462
oct35634757400
911283701810
104000571136
111773244341
12937949400
134b9a91673
1429d462132
15186339626
hexee73df00

4000571136 has 108 divisors (see below), whose sum is σ = 11552283288. Its totient is φ = 1331484672.

The previous prime is 4000571123. The next prime is 4000571149. The reversal of 4000571136 is 6311750004.

It is an interprime number because it is at equal distance from previous prime (4000571123) and next prime (4000571149).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2678806 + ... + 2680298.

It is an arithmetic number, because the mean of its divisors is an integer number (106965586).

Almost surely, 24000571136 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 4000571136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5776141644).

4000571136 is an abundant number, since it is smaller than the sum of its proper divisors (7551712152).

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

4000571136 is a wasteful number, since it uses less digits than its factorization.

4000571136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 4000571136 is about 63250.0682687379. The cubic root of 4000571136 is about 1587.4766001966.

The spelling of 4000571136 in words is "four billion, five hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1163 1493 2304 2326 2986 3489 4479 4652 5972 6978 8958 9304 10467 11944 13437 13956 17916 18608 20934 23888 26874 27912 35832 37216 41868 47776 53748 55824 71664 74432 83736 95552 107496 111648 143328 148864 167472 191104 214992 223296 286656 297728 334944 382208 429984 446592 573312 669888 859968 893184 1146624 1339776 1719936 1736359 2679552 3439872 3472718 5209077 6945436 10418154 13890872 15627231 20836308 27781744 31254462 41672616 55563488 62508924 83345232 111126976 125017848 166690464 222253952 250035696 333380928 444507904 500071392 666761856 1000142784 1333523712 2000285568 4000571136