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5125461354 = 2331353347397
BaseRepresentation
bin1001100011000000…
…00101010101101010
3111020012110102012000
410301200011111222
540444104230404
62204332231430
7241004463006
oct46140052552
914205412160
105125461354
1121a0209a82
12bb060b576
13638b48590
143689dd706
151eee8a339
hex13180556a

5125461354 has 128 divisors (see below), whose sum is σ = 12565082880. Its totient is φ = 1538963712.

The previous prime is 5125461349. The next prime is 5125461391. The reversal of 5125461354 is 4531645215.

5125461354 is a `hidden beast` number, since 51 + 2 + 546 + 13 + 54 = 666.

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 63 ways as a sum of consecutive naturals, for example, 12910284 + ... + 12910680.

It is an arithmetic number, because the mean of its divisors is an integer number (98164710).

Almost surely, 25125461354 is an apocalyptic number.

5125461354 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5125461354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6282541440).

5125461354 is an abundant number, since it is smaller than the sum of its proper divisors (7439621526).

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

5125461354 is a wasteful number, since it uses less digits than its factorization.

5125461354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 815 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 5125461354 is about 71592.3274799751. The cubic root of 5125461354 is about 1724.1603535599.

The spelling of 5125461354 in words is "five billion, one hundred twenty-five million, four hundred sixty-one thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 78 106 117 159 234 318 347 351 397 477 689 694 702 794 954 1041 1191 1378 1431 2067 2082 2382 2862 3123 3573 4134 4511 5161 6201 6246 7146 9022 9369 10322 10719 12402 13533 15483 18391 18603 18738 21041 21438 27066 30966 36782 37206 40599 42082 46449 55173 63123 81198 92898 110346 121797 126246 137759 139347 165519 189369 239083 243594 273533 275518 278694 331038 378738 413277 478166 496557 547066 568107 717249 820599 826554 993114 1136214 1239831 1434498 1641198 1790867 2151747 2461797 2479662 3581734 3719493 4303494 4923594 5372601 6455241 7301227 7385391 7438986 10745202 12910482 14602454 14770782 16117803 21903681 32235606 43807362 48353409 65711043 94915951 96706818 131422086 189831902 197133129 284747853 394266258 569495706 854243559 1708487118 2562730677 5125461354