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5102729088 = 273471671693
BaseRepresentation
bin1001100000010010…
…10111011110000000
3111011121200111101020
410300021113132000
540422244312323
62202201105440
7240310324122
oct46011273600
914147614336
105102729088
1121893a2986
12ba4a88280
13634219632
143659a3212
151ece99ae3
hex130257780

5102729088 has 128 divisors (see below), whose sum is σ = 13933624320. Its totient is φ = 1653774336.

The previous prime is 5102728999. The next prime is 5102729119. The reversal of 5102729088 is 8809272015.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3013170 + ... + 3014862.

It is an arithmetic number, because the mean of its divisors is an integer number (108856440).

Almost surely, 25102729088 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 5102729088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6966812160).

5102729088 is an abundant number, since it is smaller than the sum of its proper divisors (8830895232).

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

5102729088 is a wasteful number, since it uses less digits than its factorization.

5102729088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 5102729088 is about 71433.3891678114. The cubic root of 5102729088 is about 1721.6075974062.

The spelling of 5102729088 in words is "five billion, one hundred two million, seven hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 167 188 192 282 334 376 384 501 564 668 752 1002 1128 1336 1504 1693 2004 2256 2672 3008 3386 4008 4512 5079 5344 6016 6772 7849 8016 9024 10158 10688 13544 15698 16032 18048 20316 21376 23547 27088 31396 32064 40632 47094 54176 62792 64128 79571 81264 94188 108352 125584 159142 162528 188376 216704 238713 251168 282731 318284 325056 376752 477426 502336 565462 636568 650112 753504 848193 954852 1004672 1130924 1273136 1507008 1696386 1909704 2261848 2546272 3014016 3392772 3819408 4523696 5092544 6785544 7638816 9047392 10185088 13288357 13571088 15277632 18094784 26576714 27142176 30555264 36189568 39865071 53153428 54284352 79730142 106306856 108568704 159460284 212613712 318920568 425227424 637841136 850454848 1275682272 1700909696 2551364544 5102729088