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253052646250352 = 24135200923392091
BaseRepresentation
bin111001100010011001101001…
…000101101101011101110000
31020011222121010000021012211112
4321202121221011231131300
5231132003304420002402
62254110440354132452
7104205310322036264
oct7142315105553560
91204877100235745
10253052646250352
11736a302a815223
122446b36b281128
13ab279ba599180
14466bb560960a4
151e3c7302a1e52
hexe6266916d770

253052646250352 has 40 divisors (see below), whose sum is σ = 528014253935280. Its totient is φ = 116791278405120.

The previous prime is 253052646250321. The next prime is 253052646250399.

253052646250352 is nontrivially palindromic in base 10.

253052646250352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 253052646250352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 878174 + ... + 22513917.

It is an arithmetic number, because the mean of its divisors is an integer number (13200356348382).

Almost surely, 2253052646250352 is an apocalyptic number.

It is an amenable number.

253052646250352 is an abundant number, since it is smaller than the sum of its proper divisors (274961607684928).

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

253052646250352 is a wasteful number, since it uses less digits than its factorization.

253052646250352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23444121 (or 23444115 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 50.

The spelling of 253052646250352 in words is "two hundred fifty-three trillion, fifty-two billion, six hundred forty-six million, two hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 52009 104018 208036 416072 676117 832144 1352234 2704468 5408936 10817872 23392091 46784182 93568364 187136728 304097183 374273456 608194366 1216388732 2432777464 4865554928 1216599260819 2433198521638 4866397043276 9732794086552 15815790390647 19465588173104 31631580781294 63263161562588 126526323125176 253052646250352