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5109729008 = 242931379601
BaseRepresentation
bin1001100001001000…
…00100011011110000
3111012002212010110112
410300210010123300
540431042312013
62203011120452
7240423660056
oct46044043360
914162763415
105109729008
11219234403a
12ba72a3128
136357ca7b7
143668a61d6
151ed8cdba8
hex1309046f0

5109729008 has 80 divisors (see below), whose sum is σ = 10858709760. Its totient is φ = 2322432000.

The previous prime is 5109728969. The next prime is 5109729041. The reversal of 5109729008 is 8009279015.

It is a super-2 number, since 2×51097290082 = 52218661070393328128, which contains 22 as substring.

It is a congruent number.

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, 527408 + ... + 537008.

It is an arithmetic number, because the mean of its divisors is an integer number (135733872).

Almost surely, 25109729008 is an apocalyptic number.

5109729008 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5109729008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429354880).

5109729008 is an abundant number, since it is smaller than the sum of its proper divisors (5748980752).

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

5109729008 is a wasteful number, since it uses less digits than its factorization.

5109729008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9706 (or 9700 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 5109729008 is about 71482.3685114029. The cubic root of 5109729008 is about 1722.3944710491.

The spelling of 5109729008 in words is "five billion, one hundred nine million, seven hundred twenty-nine thousand, eight".

Divisors: 1 2 4 8 16 29 31 37 58 62 74 116 124 148 232 248 296 464 496 592 899 1073 1147 1798 2146 2294 3596 4292 4588 7192 8584 9176 9601 14384 17168 18352 19202 33263 38404 66526 76808 133052 153616 266104 278429 297631 355237 532208 556858 595262 710474 1113716 1190524 1420948 2227432 2381048 2841896 4454864 4762096 5683792 8631299 10301873 11012347 17262598 20603746 22024694 34525196 41207492 44049388 69050392 82414984 88098776 138100784 164829968 176197552 319358063 638716126 1277432252 2554864504 5109729008