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10718875024 = 241121321812
BaseRepresentation
bin10011111101110010…
…10000110110010000
31000200000110021021021
421332321100312100
5133423013000044
64531342405224
7526423635334
oct117671206620
930600407237
1010718875024
114600586500
1220b1890814
13101a907c00
147398117c4
1542b05ce84
hex27ee50d90

10718875024 has 135 divisors (see below), whose sum is σ = 24855789987. Its totient is φ = 4472582400.

The previous prime is 10718875021. The next prime is 10718875033. The reversal of 10718875024 is 42057881701.

The square root of 10718875024 is 103532.

It is a perfect power (a square), and thus also a powerful number.

10718875024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8255539600 + 2463335424 = 90860^2 + 49632^2 .

It is a super-2 number, since 2×107188750242 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10718875021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59220214 + ... + 59220394.

Almost surely, 210718875024 is an apocalyptic number.

10718875024 is the 103532-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10718875024

10718875024 is an abundant number, since it is smaller than the sum of its proper divisors (14136914963).

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

10718875024 is a wasteful number, since it uses less digits than its factorization.

10718875024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 43.

The spelling of 10718875024 in words is "ten billion, seven hundred eighteen million, eight hundred seventy-five thousand, twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 169 176 181 208 242 286 338 362 484 572 676 724 968 1144 1352 1448 1573 1859 1936 1991 2288 2353 2704 2896 3146 3718 3982 4706 6292 7436 7964 9412 12584 14872 15928 18824 20449 21901 25168 25883 29744 30589 31856 32761 37648 40898 43802 51766 61178 65522 81796 87604 103532 122356 131044 163592 175208 207064 244712 262088 284713 327184 336479 350416 360371 414128 425893 489424 524176 569426 672958 720742 851786 1138852 1345916 1441484 1703572 2277704 2691832 2882968 3407144 3701269 3964081 4555408 4684823 5383664 5536609 5765936 6814288 7402538 7928162 9369646 11073218 14805076 15856324 18739292 22146436 29610152 31712648 37478584 44292872 51533053 59220304 60902699 63425296 74957168 88585744 103066106 121805398 206132212 243610796 412264424 487221592 669929689 824528848 974443184 1339859378 2679718756 5359437512 10718875024