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252796749088 = 25132411140121
BaseRepresentation
bin1110101101101111011…
…1000100010100100000
3220011111211200102121211
43223123313010110200
513120211431432323
6312044435355504
724156352625122
oct3533367042440
9804454612554
10252796749088
11982351a1234
1240bb1152b94
131aab961b500
14c34202b212
15689861070d
hex3adbdc4520

252796749088 has 72 divisors (see below), whose sum is σ = 552067594596. Its totient is φ = 113829580800.

The previous prime is 252796749077. The next prime is 252796749131. The reversal of 252796749088 is 880947697252.

252796749088 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 6 ways, for example, as 37043931024 + 215752818064 = 192468^2 + 464492^2 .

It is a super-2 number, since 2×2527967490882 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 348333 + ... + 791788.

Almost surely, 2252796749088 is an apocalyptic number.

It is an amenable number.

252796749088 is an abundant number, since it is smaller than the sum of its proper divisors (299270845508).

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

252796749088 is a wasteful number, since it uses less digits than its factorization.

252796749088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140198 (or 1140177 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 67.

The spelling of 252796749088 in words is "two hundred fifty-two billion, seven hundred ninety-six million, seven hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 169 208 328 338 416 533 656 676 1066 1312 1352 2132 2704 4264 5408 6929 8528 13858 17056 27716 55432 110864 221728 1140121 2280242 4560484 9120968 14821573 18241936 29643146 36483872 46744961 59286292 93489922 118572584 186979844 192680449 237145168 373959688 385360898 474290336 607684493 747919376 770721796 1215368986 1495838752 1541443592 2430737972 3082887184 4861475944 6165774368 7899898409 9722951888 15799796818 19445903776 31599593636 63199187272 126398374544 252796749088