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255033133352320 = 2752131186996373
BaseRepresentation
bin111001111111001110000111…
…010100011100010110000000
31020102222221002120011010211111
4321333032013110130112000
5231411430324114233240
62302224334250053104
7104501351535454651
oct7177160724342600
91212887076133744
10255033133352320
1174296a430939a4
122472b16841a194
13ac3c6a134301b
1446d9953219528
151e73ee51801ea
hexe7f38751c580

255033133352320 has 64 divisors (see below), whose sum is σ = 609974692133040. Its totient is φ = 101965381724160.

The previous prime is 255033133352303. The next prime is 255033133352321. The reversal of 255033133352320 is 23253331330552.

255033133352320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2550331333523202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255033133352321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92134347 + ... + 94862026.

Almost surely, 2255033133352320 is an apocalyptic number.

255033133352320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

255033133352320 is an abundant number, since it is smaller than the sum of its proper divisors (354941558780720).

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

255033133352320 is a wasteful number, since it uses less digits than its factorization.

255033133352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186998523 (or 186998511 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 40.

Adding to 255033133352320 its reverse (23253331330552), we get a palindrome (278286464682872).

The spelling of 255033133352320 in words is "two hundred fifty-five trillion, thirty-three billion, one hundred thirty-three million, three hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 2131 4262 8524 10655 17048 21310 34096 42620 68192 85240 136384 170480 272768 340960 681920 1363840 186996373 373992746 747985492 934981865 1495970984 1869963730 2991941968 3739927460 5983883936 7479854920 11967767872 14959709840 23935535744 29919419680 59838839360 119677678720 398489270863 796978541726 1593957083452 1992446354315 3187914166904 3984892708630 6375828333808 7969785417260 12751656667616 15939570834520 25503313335232 31879141669040 51006626670464 63758283338080 127516566676160 255033133352320