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5141316768 = 253723135257
BaseRepresentation
bin1001100100111001…
…00100010010100000
3111021022021221201120
410302130210102200
541012134114033
62210100132240
7241256320500
oct46234442240
914238257646
105141316768
1121a9159425
12bb5997080
1363c20a393
1436ab69a00
1520156d1b3
hex1327244a0

5141316768 has 144 divisors (see below), whose sum is σ = 16206269184. Its totient is φ = 1421521920.

The previous prime is 5141316727. The next prime is 5141316769. The reversal of 5141316768 is 8676131415.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5141316769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128196 + ... + 163452.

It is an arithmetic number, because the mean of its divisors is an integer number (112543536).

Almost surely, 25141316768 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 5141316768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8103134592).

5141316768 is an abundant number, since it is smaller than the sum of its proper divisors (11064952416).

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

5141316768 is a wasteful number, since it uses less digits than its factorization.

5141316768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35315 (or 35300 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 5141316768 is about 71702.9760051841. The cubic root of 5141316768 is about 1725.9363976228.

The spelling of 5141316768 in words is "five billion, one hundred forty-one million, three hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 84 93 96 98 112 124 147 168 186 196 217 224 248 294 336 372 392 434 496 588 651 672 744 784 868 992 1176 1302 1488 1519 1568 1736 2352 2604 2976 3038 3472 4557 4704 5208 6076 6944 9114 10416 12152 18228 20832 24304 35257 36456 48608 70514 72912 105771 141028 145824 211542 246799 282056 423084 493598 564112 740397 846168 987196 1092967 1128224 1480794 1692336 1727593 1974392 2185934 2961588 3278901 3384672 3455186 3948784 4371868 5182779 5923176 6557802 6910372 7650769 7897568 8743736 10365558 11846352 13115604 13820744 15301538 17487472 20731116 22952307 23692704 26231208 27641488 30603076 34974944 41462232 45904614 52462416 53555383 55282976 61206152 82924464 91809228 104924832 107110766 122412304 160666149 165848928 183618456 214221532 244824608 321332298 367236912 428443064 642664596 734473824 856886128 1285329192 1713772256 2570658384 5141316768