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253454454352 = 24112191685427
BaseRepresentation
bin1110110000001100010…
…0000000111001010000
3220020012200021022122001
43230003010000321100
513123033320014402
6312234012323344
724211560213151
oct3540304007120
9806180238561
10253454454352
1198542482a00
1241155473554
131ab9296c718
14c3a5515928
1568d622b187
hex3b03100e50

253454454352 has 60 divisors (see below), whose sum is σ = 542595771648. Its totient is φ = 114603227200.

The previous prime is 253454454313. The next prime is 253454454373.

It is a happy number.

253454454352 is nontrivially palindromic in base 10.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 27063 + ... + 712489.

Almost surely, 2253454454352 is an apocalyptic number.

253454454352 is a gapful number since it is divisible by the number (22) 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 253454454352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271297885824).

253454454352 is an abundant number, since it is smaller than the sum of its proper divisors (289141317296).

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

253454454352 is a wasteful number, since it uses less digits than its factorization.

253454454352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685648 (or 685631 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 46.

The spelling of 253454454352 in words is "two hundred fifty-three billion, four hundred fifty-four million, four hundred fifty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 191 242 382 484 764 968 1528 1936 2101 3056 4202 8404 16808 23111 33616 46222 92444 184888 369776 685427 1370854 2741708 5483416 7539697 10966832 15079394 30158788 60317576 82936667 120635152 130916557 165873334 261833114 331746668 523666228 663493336 1047332456 1326986672 1440082127 2094664912 2880164254 5760328508 11520657016 15840903397 23041314032 31681806794 63363613588 126727227176 253454454352