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252744915348 = 223261972275227
BaseRepresentation
bin1110101101100011000…
…1010101100110010100
3220011101020011000002200
43223120301111212110
513120110144242343
6312035344404500
724155153222262
oct3533061254624
9804336130080
10252744915348
1198208a08832
1240b97916730
131aaab970563
14c3391b7432
156893cc24d3
hex3ad8c55994

252744915348 has 144 divisors (see below), whose sum is σ = 659067025344. Its totient is φ = 81635973120.

The previous prime is 252744915343. The next prime is 252744915359. The reversal of 252744915348 is 843519447252.

It is a happy number.

252744915348 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 449 + 153 + 48 = 666.

252744915348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2527449153482 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252744915294 and 252744915303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252744915341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48351111 + ... + 48356337.

Almost surely, 2252744915348 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 252744915348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329533512672).

252744915348 is an abundant number, since it is smaller than the sum of its proper divisors (406322109996).

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

252744915348 is a wasteful number, since it uses less digits than its factorization.

252744915348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5622 (or 5617 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 252744915348 in words is "two hundred fifty-two billion, seven hundred forty-four million, nine hundred fifteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 97 122 183 194 227 244 291 366 388 454 549 582 681 732 873 908 1098 1164 1362 1746 2043 2196 2724 3492 4086 5227 5917 8172 10454 11834 13847 15681 17751 20908 22019 23668 27694 31362 35502 41541 44038 47043 53253 55388 62724 66057 71004 83082 88076 94086 106506 124623 132114 166164 188172 198171 213012 249246 264228 318847 396342 498492 507019 637694 792684 956541 1014038 1186529 1275388 1343159 1521057 1913082 2028076 2373058 2686318 2869623 3042114 3559587 3826164 4029477 4563171 4746116 5372636 5739246 6084228 7119174 8058954 9126342 10678761 11478492 12088431 14238348 16117908 18252684 21357522 24176862 30928159 42715044 48353724 61856318 72378269 92784477 115093313 123712636 144756538 185568954 217134807 230186626 278353431 289513076 345279939 371137908 434269614 460373252 556706862 651404421 690559878 868539228 1035839817 1113413724 1302808842 1381119756 2071679634 2605617684 4143359268 7020692093 14041384186 21062076279 28082768372 42124152558 63186228837 84248305116 126372457674 252744915348