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253473140600 = 235243263112067
BaseRepresentation
bin1110110000010000101…
…1010010111101111000
3220020020222102200100022
43230010023102331320
513123103110444400
6312235521030012
724212205101051
oct3540413227570
9806228380308
10253473140600
1198551a86189
124115b785308
131ab967b2b84
14c3a7bbb728
1568d7bbcb85
hex3b042d2f78

253473140600 has 96 divisors (see below), whose sum is σ = 605328577920. Its totient is φ = 98653941120.

The previous prime is 253473140587. The next prime is 253473140621. The reversal of 253473140600 is 6041374352.

253473140600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2205767 + ... + 2317833.

It is an arithmetic number, because the mean of its divisors is an integer number (6305506020).

Almost surely, 2253473140600 is an apocalyptic number.

253473140600 is a gapful number since it is divisible by the number (20) 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 253473140600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302664288960).

253473140600 is an abundant number, since it is smaller than the sum of its proper divisors (351855437320).

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

253473140600 is a wasteful number, since it uses less digits than its factorization.

253473140600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112389 (or 112380 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 253473140600 in words is "two hundred fifty-three billion, four hundred seventy-three million, one hundred forty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 263 344 430 526 860 1052 1075 1315 1720 2104 2150 2630 4300 5260 6575 8600 10520 11309 13150 22618 26300 45236 52600 56545 90472 112067 113090 224134 226180 282725 448268 452360 560335 565450 896536 1120670 1130900 2241340 2261800 2801675 4482680 4818881 5603350 9637762 11206700 19275524 22413400 24094405 29473621 38551048 48188810 58947242 96377620 117894484 120472025 147368105 192755240 235788968 240944050 294736210 481888100 589472420 736840525 963776200 1178944840 1267365703 1473681050 2534731406 2947362100 5069462812 5894724200 6336828515 10138925624 12673657030 25347314060 31684142575 50694628120 63368285150 126736570300 253473140600