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253041252245200 = 24521187995324987
BaseRepresentation
bin111001100010001111000001…
…111101000001111011010000
31020011221111200221102210010201
4321202033001331001323100
5231131311441033321300
62254101314013104544
7104204425056430336
oct7142170175017320
91204844627383121
10253041252245200
1173699213136541
122446910b488154
13ab268c2b4baa3
14466b394b41b56
151e3c2b4d3566a
hexe623c1f41ed0

253041252245200 has 60 divisors (see below), whose sum is σ = 607936839998400. Its totient is φ = 101215629892480.

The previous prime is 253041252245191. The next prime is 253041252245213. The reversal of 253041252245200 is 2542252140352.

It is a self number, because there is not a number n which added to its sum of digits gives 253041252245200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44857107 + ... + 50182093.

It is an arithmetic number, because the mean of its divisors is an integer number (10132280666640).

Almost surely, 2253041252245200 is an apocalyptic number.

253041252245200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253041252245200 is an abundant number, since it is smaller than the sum of its proper divisors (354895587753200).

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

253041252245200 is a wasteful number, since it uses less digits than its factorization.

253041252245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443804 (or 5443793 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

The spelling of 253041252245200 in words is "two hundred fifty-three trillion, forty-one billion, two hundred fifty-two million, two hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 118799 237598 475196 593995 950392 1187990 1900784 2375980 2969975 4751960 5324987 5939950 9503920 10649974 11879900 21299948 23759800 26624935 42599896 47519600 53249870 85199792 106499740 133124675 212999480 266249350 425998960 532498700 1064997400 2129994800 632603130613 1265206261226 2530412522452 3163015653065 5060825044904 6326031306130 10121650089808 12652062612260 15815078265325 25304125224520 31630156530650 50608250449040 63260313061300 126520626122600 253041252245200