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4054148736 = 273111934973
BaseRepresentation
bin1111000110100101…
…0110011010000000
3101110112121002112220
43301221112122000
531300330224421
61510142251040
7202315460421
oct36151263200
911415532486
104054148736
1117a0508a50
12951886a80
134c7c002a1
142a660b648
1518adbe3c6
hexf1a56680

4054148736 has 128 divisors (see below), whose sum is σ = 11811061440. Its totient is φ = 1221918720.

The previous prime is 4054148713. The next prime is 4054148743. The reversal of 4054148736 is 6378414504.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×40541487362 = 32872243947220795392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 812746 + ... + 817718.

Almost surely, 24054148736 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 4054148736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905530720).

4054148736 is an abundant number, since it is smaller than the sum of its proper divisors (7756912704).

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

4054148736 is a wasteful number, since it uses less digits than its factorization.

4054148736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194 (or 5182 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 4054148736 is about 63672.1975119439. The cubic root of 4054148736 is about 1594.5319507279.

The spelling of 4054148736 in words is "four billion, fifty-four million, one hundred forty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 193 264 352 384 386 528 579 704 772 1056 1158 1408 1544 2112 2123 2316 3088 4224 4246 4632 4973 6176 6369 8492 9264 9946 12352 12738 14919 16984 18528 19892 24704 25476 29838 33968 37056 39784 50952 54703 59676 67936 74112 79568 101904 109406 119352 135872 159136 164109 203808 218812 238704 271744 318272 328218 407616 437624 477408 636544 656436 815232 875248 954816 959789 1312872 1750496 1909632 1919578 2625744 2879367 3500992 3839156 5251488 5758734 7001984 7678312 10502976 10557679 11517468 15356624 21005952 21115358 23034936 30713248 31673037 42230716 46069872 61426496 63346074 84461432 92139744 122852992 126692148 168922864 184279488 253384296 337845728 368558976 506768592 675691456 1013537184 1351382912 2027074368 4054148736